lost submissions to OEIS

Sat Apr 26 18:40:13 CEST 2008

several hundred to process.  That's the next thing
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Date: Sat, 26 Apr 2008 15:49:32 -0400
From: "Maximilian Hasler" <maximilian.hasler at gmail.com>
To: SeqFan <seqfan at ext.jussieu.fr>
Subject: Re: factorable trinomials
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Richard Mathar draw my attention to the fact that I might have
oversimplified something in the problem
(as is written in the paper, middle coefficients (i.e. those of x^n and not
of x as I wrote)
are generated by  (1-bx=B2)/(1-ax+bx=B2) and not as I wrote by 1/(1-ax+bx=
=B2)).
What is even more embarassing, I forgot to mention Tanya's page
http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html
which already provides an index similar to what I spoke of
(not concentrating on factorable trinomials, though).

To have you forgive me, I provide a similar index, namely to sequences
 a[0]=3D0, a[1]=3D1, a[n+1] =3D col*a[n] + row*a[n-1]
in the form of an HTML table (hoping that it will be readable in the mail).
If it is desired, I can make similar tables for other starting values and/or
send them to Neil for putting them on OEIS. (You will remark that these
tables are made automatically, using the first hit of an OEIS lookup,
and e.g. a search 0,1,0,0,0.... yields
A036987<http://www.research.att.com/%7Enjas/sequences/A036987>instead
of the correct result,
A063524 <http://www.research.att.com/%7Enjas/sequences/A063524>.
Following the links, you'll get the list of all matches, though.)

Maximilian

Appendix: Table with links to seq. a[0]=3D0, a[1]=3D1, a[n+1] =3D col*a[n] +
row*a[n-1]

\col =3D -5col =3D -4col =3D -3col =3D -2col =3D -1col =3D 0col =3D 1col =
=3D 2col =3D 3col =3D 4col
=3D 5 row =3D -5A093131<http://www.research.att.com/%7Enjas/sequences/?q=3D=
0,1,-5,20,-75,275,-1000,3625,-13125,47500,-171875,621875,-2250000>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,11,-24,41,-=
44,-29,336,-1199,3116,-6469,10296,-8839,-16124>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,4,3,-29,72,=
-71,-147,796,-1653,979,5328,-20879,35997,-3596>
A045873<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,-1,12,-19=
,-22,139,-168,-359,1558,-1321,-5148,16901,-8062>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,-4,9,11,-56=
,1,279,-284,-1111,2531,3024,-15679,559,77836>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,-5,0,25,0,-1=
25,0,625,0,-3125,0,15625,0,-78125,0,390625>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,-4,-9,11,56,=
1,-279,-284,1111,2531,-3024,-15679,-559,77836>
A045873<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,-1,-12,-19=
,22,139,168,-359,-1558,-1321,5148,16901,8062>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,4,-3,-29,-72=
,-71,147,796,1653,979,-5328,-20879,-35997,-3596>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,11,24,41,44,=
-29,-336,-1199,-3116,-6469,-10296,-8839,16124>
A093131<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,20,75,275,=
1000,3625,13125,47500,171875,621875,2250000,8140625>
row
=3D -4A084241<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,21,=
-85,341,-1365,5461,-21845,87381,-349525,1398101,-5592405>
A001787<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,12,-32,80=
,-192,448,-1024,2304,-5120,11264,-24576,53248>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,5,-3,-11,45=
,-91,93,85,-627,1541,-2115,181,7917,-24475>
A088138<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,0,8,-16,0=
,64,-128,0,512,-1024,0,4096,-8192,0,32768,-65536>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,-3,7,5,-33,=
13,119,-171,-305,989,231,-4187,3263,13485,-26537>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,-4,0,16,0,-6=
4,0,256,0,-1024,0,4096,0,-16384,0,65536,0,-262144>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,-3,-7,5,33,1=
3,-119,-171,305,989,-231,-4187,-3263,13485>
A088138<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,0,-8,-16,0=
,64,128,0,-512,-1024,0,4096,8192,0,-32768,-65536>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,5,3,-11,-45,=
-91,-93,85,627,1541,2115,181,-7917,-24475,-41757>
A001787<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,12,32,80,1=
92,448,1024,2304,5120,11264,24576,53248,114688>
A002450<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,21,85,341,=
1365,5461,21845,87381,349525,1398101,5592405>
row
=3D -3not found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,2=
2,-95,409,-1760,7573,-32585,140206,-603275,2595757,-11168960>
A003462<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,13,-40,12=
1,-364,1093,-3280,9841,-29524,88573,-265720,797161>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,6,-9,9,0,-2=
7,81,-162,243,-243,0,729,-2187,4374,-6561,6561>
A088137<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,1,4,-11,1=
0,13,-56,73,22,-263,460,-131,-1118,2629,-1904>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,-2,5,1,-16,=
13,35,-74,-31,253,-160,-599,1079,718,-3955>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,-3,0,9,0,-27=
,0,81,0,-243,0,729,0,-2187,0,6561,0,-19683>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,-2,-5,1,16,1=
3,-35,-74,31,253,160,-599,-1079,718,3955,1801>
A088137<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,1,-4,-11,-=
10,13,56,73,-22,-263,-460,-131,1118,2629,1904>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,6,9,9,0,-27,=
-81,-162,-243,-243,0,729,2187,4374,6561,6561>
A003462<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,13,40,121,=
364,1093,3280,9841,29524,88573,265720,797161>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,22,95,409,17=
60,7573,32585,140206,603275,2595757,11168960>
row
=3D -2not found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,2=
3,-105,479,-2185,9967,-45465,207391,-946025,4315343,-19684665>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,14,-48,164,=
-560,1912,-6528,22288,-76096,259808,-887040>
A000225<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,7,-15,31,=
-63,127,-255,511,-1023,2047,-4095,8191,-16383>
A009545<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,2,0,-4,8,=
-8,0,16,-32,32,0,-64,128,-128,0,256,-512,512>
A001607<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,-1,3,-1,-=
5,7,3,-17,11,23,-45,-1,91,-89,-93,271,-85,-457>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,-2,0,4,0,-8,=
0,16,0,-32,0,64,0,-128,0,256,0,-512,0,1024>
A107920<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,-1,-3,-1,5=
,7,-3,-17,-11,23,45,-1,-91,-89,93,271,85,-457>
A009545<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,2,0,-4,-8,=
-8,0,16,32,32,0,-64,-128,-128,0,256,512,512,0>
A000225<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,7,15,31,63=
,127,255,511,1023,2047,4095,8191,16383,32767>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,14,48,164,56=
0,1912,6528,22288,76096,259808,887040,3028544>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,23,105,479,2=
185,9967,45465,207391,946025,4315343,19684665>
row
=3D -1A004254<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,24,=
-115,551,-2640,12649,-60605,290376,-1391275,6665999>
A001353<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,15,-56,20=
9,-780,2911,-10864,40545,-151316,564719,-2107560>
A001906<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,8,-21,55,=
-144,377,-987,2584,-6765,17711,-46368,121393>
A105811<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,3,-4,5,-6=
,7,-8,9,-10,11,-12,13,-14,15,-16,17,-18,19,-20>
A049347<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,0,1,-1,0,=
1,-1,0,1,-1,0,1,-1,0,1,-1,0,1,-1,0,1,-1,0,1,-1>
A056594<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,-1,0,1,0,-=
1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1>
A010892<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,0,-1,-1,0,=
1,1,0,-1,-1,0,1,1,0,-1,-1,0,1,1,0,-1,-1,0,1,1>
A001477<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,3,4,5,6,7,=
8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23>
A001906<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,8,21,55,14=
4,377,987,2584,6765,17711,46368,121393,317811>
A001353<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,15,56,209,=
780,2911,10864,40545,151316,564719,2107560,7865521>
A004254<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,24,115,551=
,2640,12649,60605,290376,1391275,6665999,31938720>
row
=3D 0not found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,25=
,-125,625,-3125,15625,-78125,390625,-1953125,9765625>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,16,-64,256,=
-1024,4096,-16384,65536,-262144,1048576,-4194304>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,9,-27,81,-2=
43,729,-2187,6561,-19683,59049,-177147,531441>
A131577<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,4,-8,16,-=
32,64,-128,256,-512,1024,-2048,4096,-8192,16384>
A062157<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,1,-1,1,-1=
,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1>
A036987<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,0,0,0,0,0,=
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0>
A057427<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,1,1,1,1,1,=
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1>
A131577<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,4,8,16,32,=
64,128,256,512,1024,2048,4096,8192,16384,32768>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,9,27,81,243,=
729,2187,6561,19683,59049,177147,531441,1594323>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,16,64,256,10=
24,4096,16384,65536,262144,1048576,4194304>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,25,125,625,3=
125,15625,78125,390625,1953125,9765625,48828125>
row
=3D 1not found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,26=
,-135,701,-3640,18901,-98145,509626,-2646275,13741001>
A001076<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,17,-72,30=
5,-1292,5473,-23184,98209,-416020,1762289,-7465176>
A006190<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,10,-33,10=
9,-360,1189,-3927,12970,-42837,141481,-467280>
A000129<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,5,-12,29,=
-70,169,-408,985,-2378,5741,-13860,33461,-80782>
A039834<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,2,-3,5,-8=
,13,-21,34,-55,89,-144,233,-377,610,-987,1597>
A000035<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,1,0,1,0,1,=
0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0>
A000045<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,2,3,5,8,13=
,21,34,55,89,144,233,377,610,987,1597,2584,4181>
A000129<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,5,12,29,70=
,169,408,985,2378,5741,13860,33461,80782,195025>
A006190<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,10,33,109,=
360,1189,3927,12970,42837,141481,467280,1543321>
A001076<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,17,72,305,=
1292,5473,23184,98209,416020,1762289,7465176>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,26,135,701,3=
640,18901,98145,509626,2646275,13741001,71351280>
row
=3D 2A015535<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,27,-=
145,779,-4185,22483,-120785,648891,-3486025,18727907>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,18,-80,356,=
-1584,7048,-31360,139536,-620864,2762528,-12291840>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,11,-39,139,=
-495,1763,-6279,22363,-79647,283667,-1010295>
A080953<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,6,-16,44,=
-120,328,-896,2448,-6688,18272,-49920,136384>
A001045<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,3,-5,11,-=
21,43,-85,171,-341,683,-1365,2731,-5461,10923>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,2,0,4,0,8,0,=
16,0,32,0,64,0,128,0,256,0,512,0,1024,0,2048>
A001045<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,3,5,11,21,=
43,85,171,341,683,1365,2731,5461,10923,21845>
A080953<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,6,16,44,12=
0,328,896,2448,6688,18272,49920,136384,372608>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,11,39,139,49=
5,1763,6279,22363,79647,283667,1010295,3598219>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,18,80,356,15=
84,7048,31360,139536,620864,2762528,12291840>
A015535<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,27,145,779=
,4185,22483,120785,648891,3486025,18727907,100611585>
row
=3D 3A015536<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,28,-=
155,859,-4760,26377,-146165,809956,-4488275,24871243>
A015530<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,19,-88,40=
9,-1900,8827,-41008,190513,-885076,4111843,-19102600>
A030195<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,12,-45,17=
1,-648,2457,-9315,35316,-133893,507627,-1924560>
A014983<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,7,-20,61,=
-182,547,-1640,4921,-14762,44287,-132860,398581>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,4,-7,19,-40=
,97,-217,508,-1159,2683,-6160,14209,-32689>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,3,0,9,0,27,0=
,81,0,243,0,729,0,2187,0,6561,0,19683,0,59049>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,4,7,19,40,97=
,217,508,1159,2683,6160,14209,32689,75316,173383>
A015518<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,7,20,61,18=
2,547,1640,4921,14762,44287,132860,398581,1195742>
A030195<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,12,45,171,=
648,2457,9315,35316,133893,507627,1924560,7296561>
A015530<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,19,88,409,=
1900,8827,41008,190513,885076,4111843,19102600>
A015536<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,28,155,859=
,4760,26377,146165,809956,4488275,24871243,137821040>
row
=3D 4A015537<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,29,-=
165,941,-5365,30589,-174405,994381,-5669525,32325149>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,20,-96,464,=
-2240,10816,-52224,252160,-1217536,5878784>
A015521<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,13,-51,20=
5,-819,3277,-13107,52429,-209715,838861,-3355443>
A085449<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,8,-24,80,=
-256,832,-2688,8704,-28160,91136,-294912,954368>
A123000<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,5,-9,29,-=
65,181,-441,1165,-2929,7589,-19305,49661,-126881>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,4,0,16,0,64,=
0,256,0,1024,0,4096,0,16384,0,65536,0,262144>
A123000<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,5,9,29,65,=
181,441,1165,2929,7589,19305,49661,126881,325525>
A085449<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,8,24,80,25=
6,832,2688,8704,28160,91136,294912,954368,3088384>
A015521<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,13,51,205,=
819,3277,13107,52429,209715,838861,3355443,13421773>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,20,96,464,22=
40,10816,52224,252160,1217536,5878784,28385280>
A015537<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,29,165,941=
,5365,30589,174405,994381,5669525,32325149,184303845>
row
=3D 5not found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,30=
,-175,1025,-6000,35125,-205625,1203750,-7046875,41253125>
A015531<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,21,-104,5=
21,-2604,13021,-65104,325521,-1627604,8138021>
A015523<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,14,-57,24=
1,-1008,4229,-17727,74326,-311613,1306469,-5477472>
A002532<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,9,-28,101=
,-342,1189,-4088,14121,-48682,167969,-579348>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,6,-11,41,-9=
6,301,-781,2286,-6191,17621,-48576,136681,-379561>not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,5,0,25,0,125=
,0,625,0,3125,0,15625,0,78125,0,390625,0,1953125>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,6,11,41,96,3=
01,781,2286,6191,17621,48576,136681,379561>
A002532<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,9,28,101,3=
42,1189,4088,14121,48682,167969,579348,1998541>
A015523<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,14,57,241,=
1008,4229,17727,74326,311613,1306469,5477472>
A015531<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,21,104,521=
,2604,13021,65104,325521,1627604,8138021,40690104>
not
found<http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,30,175,1025,=
6000,35125,205625,1203750,7046875,41253125>

(Red links indicate multiple results: only the first hit is shown, follow
the link to see all matches.)

------=_Part_5224_29375730.1209239372256
Content-Type: text/html; charset=ISO-8859-1
Content-Transfer-Encoding: quoted-printable
Content-Disposition: inline

Richard Mathar draw my attention to the fact that I might have oversimplifi=
ed something in the problem (as is written in the paper, middle coeffici=
ents (i.e. those of x^n and not of x as I wrote) are generated by  =
(1-bx=B2)/(1-ax+bx=B2) and not as I wrote by 1/(1-ax+bx=B2)).

What is even more embarassing, I forgot to mention Tanya's page<br><a h=
ref=3D"http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.=
html" target=3D"_blank">http://www.tanyakhovanova.com/RecursiveSequences/Re=
cursiveSequences.html</a><br>

which already provides an index similar to what I spoke of<br>(not concentr=
ating on factorable trinomials, though).<br><br>To have you forgive me, I p=
rovide a similar index, namely to sequences<br> a[0]=3D0, a[1]=3D1, a[=
n+1] =3D col*a[n] + row*a[n-1]<br>

in the form of an HTML table (hoping that it will be readable in the mail).=
 If it is desired, I can make similar tables for other starting values a=
nd/or send them to Neil for putting them on OEIS. (You will remark that the=
se tables are made automatically, using the first hit of an OEIS lookup,

and e.g. a search 0,1,0,0,0.... yields <a href=3D"http://www.research.att.c=
om/%7Enjas/sequences/A036987" title=3D"Fredholm-Rueppel sequence." target=
=3D"_blank">A036987</a> instead of the correct result, <a href=3D"http://ww=
w.research.att.com/%7Enjas/sequences/A063524" title=3D"Characteristic funct=
ion of 1." target=3D"_blank">A063524</a>.

Following the links, you'll get the list of all matches, though.) <b=
r>Maximilian Appendix: Table with links to seq. a[0]=3D0, a[1]=3D1, =
a[n+1] =3D col*a[n] + row*a[n-1] <table border=3D"1"><tbody><tr>=
<th>

\</th><th>col =3D -5</th><th>col =3D -4</th><th>col =3D -3</th><th>col =3D =
-2</th><th>col =3D -1</th><th>col =3D 0</th><th>col =3D 1</th><th>col =3D 2=
</th><th>col =3D 3</th><th>col =3D 4</th><th>col =3D 5</th></tr><tr>
<th>row =3D -5</th><td><a title=3D"A093131 Binomial transform of Fib(2n)." =
href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,20,-75,27=
5,-1000,3625,-13125,47500,-171875,621875,-2250000" target=3D"_blank">A09313=
1</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,-4,11,-24,41,-44,-29,336,-1199,3116,-6469,10296=
,-8839,-16124" target=3D"_blank">not found</a></td><td><a title=3D"" style=
=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=
=3D0,1,-3,4,3,-29,72,-71,-147,796,-1653,979,5328,-20879,35997,-3596" target=
=3D"_blank">not found</a></td>

<td><a title=3D"A045873 A006496/2." href=3D"http://www.research.att.com/%7E=
njas/sequences/?q=3D0,1,-2,-1,12,-19,-22,139,-168,-359,1558,-1321,-5148,169=
01,-8062" target=3D"_blank">A045873</a></td><td><a title=3D"" style=3D"colo=
r: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,=
-4,9,11,-56,1,279,-284,-1111,2531,3024,-15679,559,77836" target=3D"_blank">=
not found</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,0,-5,0,25,0,-125,0,625,0,-3125,0,15625,0,-78125=
,0,390625" target=3D"_blank">not found</a></td><td><a title=3D"" style=3D"c=
olor: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,=
1,-4,-9,11,56,1,-279,-284,1111,2531,-3024,-15679,-559,77836" target=3D"_bla=
nk">not found</a></td>

<td><a title=3D"A045873 A006496/2." href=3D"http://www.research.att.com/%7E=
njas/sequences/?q=3D0,1,2,-1,-12,-19,22,139,168,-359,-1558,-1321,5148,16901=
,8062" target=3D"_blank">A045873</a></td><td><a title=3D"" style=3D"color: =
red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,4,-3=
,-29,-72,-71,147,796,1653,979,-5328,-20879,-35997,-3596" target=3D"_blank">=
not found</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,4,11,24,41,44,-29,-336,-1199,-3116,-6469,-10296=
,-8839,16124" target=3D"_blank">not found</a></td><td><a title=3D"A093131 B=
inomial transform of Fib(2n)." href=3D"http://www.research.att.com/%7Enjas/=
sequences/?q=3D0,1,5,20,75,275,1000,3625,13125,47500,171875,621875,2250000,=
8140625" target=3D"_blank">A093131</a></td>

</tr><tr>
<th>row =3D -4</th><td><a title=3D"A084241 a(n)=3D-5a(n-1)-4a(n-2), a(0)=3D=
0,a(1)=3D1." style=3D"color: red;" href=3D"http://www.research.att.com/%7En=
jas/sequences/?q=3D0,1,-5,21,-85,341,-1365,5461,-21845,87381,-349525,139810=
1,-5592405" target=3D"_blank">A084241</a></td>

<td><a title=3D"A001787 n*2^(n-1)." style=3D"color: red;" href=3D"http://ww=
w.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,12,-32,80,-192,448,-1024,2=
304,-5120,11264,-24576,53248" target=3D"_blank">A001787</a></td><td><a titl=
e=3D"" style=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/se=
quences/?q=3D0,1,-3,5,-3,-11,45,-91,93,85,-627,1541,-2115,181,7917,-24475" =
target=3D"_blank">not found</a></td>

<td><a title=3D"A088138 Generalized Gaussian Fibonacci integers." href=3D"h=
ttp://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,0,8,-16,0,64,-128,=
0,512,-1024,0,4096,-8192,0,32768,-65536" target=3D"_blank">A088138</a></td>=
<td>

<a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com/%7E=
njas/sequences/?q=3D0,1,-1,-3,7,5,-33,13,119,-171,-305,989,231,-4187,3263,1=
3485,-26537" target=3D"_blank">not found</a></td><td><a title=3D"" style=3D=
"color: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,=
1,0,-4,0,16,0,-64,0,256,0,-1024,0,4096,0,-16384,0,65536,0,-262144" target=
=3D"_blank">not found</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,1,-3,-7,5,33,13,-119,-171,305,989,-231,-4187,-3=
263,13485" target=3D"_blank">not found</a></td><td><a title=3D"A088138 Gene=
ralized Gaussian Fibonacci integers." href=3D"http://www.research.att.com/%=
7Enjas/sequences/?q=3D0,1,2,0,-8,-16,0,64,128,0,-512,-1024,0,4096,8192,0,-3=
2768,-65536" target=3D"_blank">A088138</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,3,5,3,-11,-45,-91,-93,85,627,1541,2115,181,-791=
7,-24475,-41757" target=3D"_blank">not found</a></td><td><a title=3D"A00178=
7 n*2^(n-1)." style=3D"color: red;" href=3D"http://www.research.att.com/%7E=
njas/sequences/?q=3D0,1,4,12,32,80,192,448,1024,2304,5120,11264,24576,53248=
,114688" target=3D"_blank">A001787</a></td>

<td><a title=3D"A002450 (4^n - 1)/3." style=3D"color: red;" href=3D"http://=
www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,21,85,341,1365,5461,21845=
,87381,349525,1398101,5592405" target=3D"_blank">A002450</a></td></tr><tr>
<th>row =3D -3</th><td><a title=3D"" style=3D"color: red;" href=3D"http://w=
ww.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,22,-95,409,-1760,7573,-32=
585,140206,-603275,2595757,-11168960" target=3D"_blank">not found</a></td><=
td><a title=3D"A003462 (3^n - 1)/2." style=3D"color: red;" href=3D"http://w=
ww.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,13,-40,121,-364,1093,-328=
0,9841,-29524,88573,-265720,797161" target=3D"_blank">A003462</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,-3,6,-9,9,0,-27,81,-162,243,-243,0,729,-2187,43=
74,-6561,6561" target=3D"_blank">not found</a></td><td><a title=3D"A088137 =
Generalized Gaussian Fibonacci integers." href=3D"http://www.research.att.c=
om/%7Enjas/sequences/?q=3D0,1,-2,1,4,-11,10,13,-56,73,22,-263,460,-131,-111=
8,2629,-1904" target=3D"_blank">A088137</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,-1,-2,5,1,-16,13,35,-74,-31,253,-160,-599,1079,=
718,-3955" target=3D"_blank">not found</a></td><td><a title=3D"" style=3D"c=
olor: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,=
0,-3,0,9,0,-27,0,81,0,-243,0,729,0,-2187,0,6561,0,-19683" target=3D"_blank"=
>not found</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,1,-2,-5,1,16,13,-35,-74,31,253,160,-599,-1079,7=
18,3955,1801" target=3D"_blank">not found</a></td><td><a title=3D"A088137 G=
eneralized Gaussian Fibonacci integers." href=3D"http://www.research.att.co=
m/%7Enjas/sequences/?q=3D0,1,2,1,-4,-11,-10,13,56,73,-22,-263,-460,-131,111=
8,2629,1904" target=3D"_blank">A088137</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,3,6,9,9,0,-27,-81,-162,-243,-243,0,729,2187,437=
4,6561,6561" target=3D"_blank">not found</a></td><td><a title=3D"A003462 (3=
^n - 1)/2." style=3D"color: red;" href=3D"http://www.research.att.com/%7Enj=
as/sequences/?q=3D0,1,4,13,40,121,364,1093,3280,9841,29524,88573,265720,797=
161" target=3D"_blank">A003462</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,5,22,95,409,1760,7573,32585,140206,603275,25957=
57,11168960" target=3D"_blank">not found</a></td></tr><tr>
<th>row =3D -2</th><td><a title=3D"" style=3D"color: red;" href=3D"http://w=
ww.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,23,-105,479,-2185,9967,-4=
5465,207391,-946025,4315343,-19684665" target=3D"_blank">not found</a></td>=
<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,-4,14,-48,164,-560,1912,-6528,22288,-76096,2598=
08,-887040" target=3D"_blank">not found</a></td>

<td><a title=3D"A000225 2^n - 1. (Sometimes called Mersenne numbers, althou=
gh that name is usually reserved " href=3D"http://www.research.att.com/%7En=
jas/sequences/?q=3D0,1,-3,7,-15,31,-63,127,-255,511,-1023,2047,-4095,8191,-=
16383" target=3D"_blank">A000225</a></td>

<td><a title=3D"A009545 Expansion of sin(x)*exp(x)." href=3D"http://www.res=
earch.att.com/%7Enjas/sequences/?q=3D0,1,-2,2,0,-4,8,-8,0,16,-32,32,0,-64,1=
28,-128,0,256,-512,512" target=3D"_blank">A009545</a></td><td><a title=3D"A=
001607 a(n) =3D - a(n-1) - 2a(n-2)." style=3D"color: red;" href=3D"http://w=
ww.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,-1,3,-1,-5,7,3,-17,11,23,=
-45,-1,91,-89,-93,271,-85,-457" target=3D"_blank">A001607</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,0,-2,0,4,0,-8,0,16,0,-32,0,64,0,-128,0,256,0,-5=
12,0,1024" target=3D"_blank">not found</a></td><td><a title=3D"A107920 Luca=
s and Lehmer numbers with parameters (1+-sqrt(-7))/2." style=3D"color: red;=
" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,-1,-3,-1=
,5,7,-3,-17,-11,23,45,-1,-91,-89,93,271,85,-457" target=3D"_blank">A107920<=
/a></td>

<td><a title=3D"A009545 Expansion of sin(x)*exp(x)." href=3D"http://www.res=
earch.att.com/%7Enjas/sequences/?q=3D0,1,2,2,0,-4,-8,-8,0,16,32,32,0,-64,-1=
28,-128,0,256,512,512,0" target=3D"_blank">A009545</a></td><td><a title=3D"=
A000225 2^n - 1. (Sometimes called Mersenne numbers, although that name is =
usually reserved " href=3D"http://www.research.att.com/%7Enjas/sequences/?q=
=3D0,1,3,7,15,31,63,127,255,511,1023,2047,4095,8191,16383,32767" target=3D"=
_blank">A000225</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,4,14,48,164,560,1912,6528,22288,76096,259808,88=
7040,3028544" target=3D"_blank">not found</a></td><td><a title=3D"" style=
=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=
=3D0,1,5,23,105,479,2185,9967,45465,207391,946025,4315343,19684665" target=
=3D"_blank">not found</a></td>

</tr><tr>
<th>row =3D -1</th><td><a title=3D"A004254 a(n) =3D 5a(n - 1) - a(n - 2), a=
(0) =3D 0, a(1) =3D 1." href=3D"http://www.research.att.com/%7Enjas/sequenc=
es/?q=3D0,1,-5,24,-115,551,-2640,12649,-60605,290376,-1391275,6665999" targ=
et=3D"_blank">A004254</a></td>

<td><a title=3D"A001353 a(n) =3D 4a(n-1)-a(n-2) with a(0) =3D 0, a(1) =3D 1=
." style=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/sequen=
ces/?q=3D0,1,-4,15,-56,209,-780,2911,-10864,40545,-151316,564719,-2107560" =
target=3D"_blank">A001353</a></td>

<td><a title=3D"A001906 F(2n) =3D bisection of Fibonacci sequence: a(n)=3D3=
a(n-1)-a(n-2)." href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D=
0,1,-3,8,-21,55,-144,377,-987,2584,-6765,17711,-46368,121393" target=3D"_bl=
ank">A001906</a></td>

<td><a title=3D"A105811 Expansion of (1+x-x^2)/(1+x)^2." style=3D"color: re=
d;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,3,-4,=
5,-6,7,-8,9,-10,11,-12,13,-14,15,-16,17,-18,19,-20" target=3D"_blank">A1058=
11</a></td>

<td><a title=3D"A049347 Periodic sequence with period {1,-1,0}." style=3D"c=
olor: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,=
-1,0,1,-1,0,1,-1,0,1,-1,0,1,-1,0,1,-1,0,1,-1,0,1,-1,0,1,-1" target=3D"_blan=
k">A049347</a></td>

<td><a title=3D"A056594 Periodic sequence 1,0,-1,0...; expansion of 1/(1+x^=
2)." style=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/sequ=
ences/?q=3D0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1" =
target=3D"_blank">A056594</a></td>

<td><a title=3D"A010892 Inverse of 6th cyclotomic polynomial. A period 6 se=
quence." style=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/=
sequences/?q=3D0,1,1,0,-1,-1,0,1,1,0,-1,-1,0,1,1,0,-1,-1,0,1,1,0,-1,-1,0,1,=
1" target=3D"_blank">A010892</a></td>

<td><a title=3D"A001477 The nonnegative integers." style=3D"color: red;" hr=
ef=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,3,4,5,6,7,8,=
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23" target=3D"_blank">A001477</a><=
/td><td>

<a title=3D"A001906 F(2n) =3D bisection of Fibonacci sequence: a(n)=3D3a(n-=
1)-a(n-2)." href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,=
3,8,21,55,144,377,987,2584,6765,17711,46368,121393,317811" target=3D"_blank=
">A001906</a></td>

<td><a title=3D"A001353 a(n) =3D 4a(n-1)-a(n-2) with a(0) =3D 0, a(1) =3D 1=
." style=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/sequen=
ces/?q=3D0,1,4,15,56,209,780,2911,10864,40545,151316,564719,2107560,7865521=
" target=3D"_blank">A001353</a></td>

<td><a title=3D"A004254 a(n) =3D 5a(n - 1) - a(n - 2), a(0) =3D 0, a(1) =3D=
 1." href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,5,24,11=
5,551,2640,12649,60605,290376,1391275,6665999,31938720" target=3D"_blank">A=
004254</a></td>

</tr><tr>
<th>row =3D 0</th><td><a title=3D"" style=3D"color: red;" href=3D"http://ww=
w.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,25,-125,625,-3125,15625,-7=
8125,390625,-1953125,9765625" target=3D"_blank">not found</a></td><td><a ti=
tle=3D"" style=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/=
sequences/?q=3D0,1,-4,16,-64,256,-1024,4096,-16384,65536,-262144,1048576,-4=
194304" target=3D"_blank">not found</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,-3,9,-27,81,-243,729,-2187,6561,-19683,59049,-1=
77147,531441" target=3D"_blank">not found</a></td><td><a title=3D"A131577 Z=
ero followed by powers of 2 (cf. A000079)." style=3D"color: red;" href=3D"h=
ttp://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,4,-8,16,-32,64,-12=
8,256,-512,1024,-2048,4096,-8192,16384" target=3D"_blank">A131577</a></td>

<td><a title=3D"A062157 0^n-(-1)^n." style=3D"color: red;" href=3D"http://w=
ww.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,=
1,-1,1,-1,1,-1,1,-1,1,-1,1,-1" target=3D"_blank">A062157</a></td><td><a tit=
le=3D"A036987 Fredholm-Rueppel sequence." style=3D"color: red;" href=3D"htt=
p://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,0,0,0,0,0,0,0,0,0,0,0=
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0" target=3D"_blank">A036987</a></td>

<td><a title=3D"A057427 Sign(n): a(n) =3D 1 if n>0, =3D -1 if n<0, =
=3D 0 if n =3D 0." style=3D"color: red;" href=3D"http://www.research.att.co=
m/%7Enjas/sequences/?q=3D0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,=
1,1,1,1,1,1" target=3D"_blank">A057427</a></td>

<td><a title=3D"A131577 Zero followed by powers of 2 (cf. A000079)." style=
=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=
=3D0,1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768" target=
=3D"_blank">A131577</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,3,9,27,81,243,729,2187,6561,19683,59049,177147,=
531441,1594323" target=3D"_blank">not found</a></td><td><a title=3D"" style=
=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=
=3D0,1,4,16,64,256,1024,4096,16384,65536,262144,1048576,4194304" target=3D"=
_blank">not found</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,5,25,125,625,3125,15625,78125,390625,1953125,97=
65625,48828125" target=3D"_blank">not found</a></td></tr><tr>
<th>row =3D 1</th><td><a title=3D"" style=3D"color: red;" href=3D"http://ww=
w.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,26,-135,701,-3640,18901,-9=
8145,509626,-2646275,13741001" target=3D"_blank">not found</a></td><td><a t=
itle=3D"A001076 Denominators of continued fraction convergents to sqrt(5)."=
 href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,17,-72,3=
05,-1292,5473,-23184,98209,-416020,1762289,-7465176" target=3D"_blank">A001=
076</a></td>

<td><a title=3D"A006190 a(n) =3D 3*a(n-1) + a(n-2)." href=3D"http://www.res=
earch.att.com/%7Enjas/sequences/?q=3D0,1,-3,10,-33,109,-360,1189,-3927,1297=
0,-42837,141481,-467280" target=3D"_blank">A006190</a></td><td><a title=3D"=
A000129 Pell numbers: a(0) =3D 0, a(1) =3D 1; for n > 1, a(n) =3D 2*a(n-=
1) + a(n-2)." href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,=
1,-2,5,-12,29,-70,169,-408,985,-2378,5741,-13860,33461,-80782" target=3D"_b=
lank">A000129</a></td>

<td><a title=3D"A039834 a(n+2)=3D-a(n+1)+a(n) (signed Fibonacci numbers); o=
r Fibonacci numbers (A000045) extended " style=3D"color: red;" href=3D"http=
://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-1,2,-3,5,-8,13,-21,34,-=
55,89,-144,233,-377,610,-987,1597" target=3D"_blank">A039834</a></td>

<td><a title=3D"A000035 A simple periodic sequence." style=3D"color: red;" =
href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,0,1,0,1,0,1,=
0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0" target=3D"_blank">A000035</a=
></td>

<td><a title=3D"A000045 Fibonacci numbers: F(n) =3D F(n-1) + F(n-2), F(0) =
=3D 0, F(1) =3D 1, F(2) =3D 1, ..." style=3D"color: red;" href=3D"http://ww=
w.research.att.com/%7Enjas/sequences/?q=3D0,1,1,2,3,5,8,13,21,34,55,89,144,=
233,377,610,987,1597,2584,4181" target=3D"_blank">A000045</a></td>

<td><a title=3D"A000129 Pell numbers: a(0) =3D 0, a(1) =3D 1; for n > 1,=
 a(n) =3D 2*a(n-1) + a(n-2)." href=3D"http://www.research.att.com/%7Enjas/s=
equences/?q=3D0,1,2,5,12,29,70,169,408,985,2378,5741,13860,33461,80782,1950=
25" target=3D"_blank">A000129</a></td>

<td><a title=3D"A006190 a(n) =3D 3*a(n-1) + a(n-2)." href=3D"http://www.res=
earch.att.com/%7Enjas/sequences/?q=3D0,1,3,10,33,109,360,1189,3927,12970,42=
837,141481,467280,1543321" target=3D"_blank">A006190</a></td><td><a title=
=3D"A001076 Denominators of continued fraction convergents to sqrt(5)." hre=
f=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,17,72,305,129=
2,5473,23184,98209,416020,1762289,7465176" target=3D"_blank">A001076</a></t=
d>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,5,26,135,701,3640,18901,98145,509626,2646275,13=
741001,71351280" target=3D"_blank">not found</a></td></tr><tr>
<th>row =3D 2</th><td><a title=3D"A015535 Linear 2nd order recurrence." hre=
f=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,27,-145,779,=
-4185,22483,-120785,648891,-3486025,18727907" target=3D"_blank">A015535</a>=
</td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,-4,18,-80,356,-1584,7048,-31360,139536,-620864,=
2762528,-12291840" target=3D"_blank">not found</a></td><td><a title=3D"" st=
yle=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?=
q=3D0,1,-3,11,-39,139,-495,1763,-6279,22363,-79647,283667,-1010295" target=
=3D"_blank">not found</a></td>

<td><a title=3D"A080953 a(n)=3D2(a(n-1)+a(n-2)), a(0)=3D0, a(1)=3D1." href=
=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-2,6,-16,44,-120=
,328,-896,2448,-6688,18272,-49920,136384" target=3D"_blank">A080953</a></td=
><td><a title=3D"A001045 Jacobsthal sequence: a(n) =3D a(n-1) + 2a(n-2), wi=
th a(0) =3D 0, a(1) =3D 1." href=3D"http://www.research.att.com/%7Enjas/seq=
uences/?q=3D0,1,-1,3,-5,11,-21,43,-85,171,-341,683,-1365,2731,-5461,10923" =
target=3D"_blank">A001045</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,0,2,0,4,0,8,0,16,0,32,0,64,0,128,0,256,0,512,0,=
1024,0,2048" target=3D"_blank">not found</a></td><td><a title=3D"A001045 Ja=
cobsthal sequence: a(n) =3D a(n-1) + 2a(n-2), with a(0) =3D 0, a(1) =3D 1."=
 href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,3,5,11,21=
,43,85,171,341,683,1365,2731,5461,10923,21845" target=3D"_blank">A001045</a=
></td>

<td><a title=3D"A080953 a(n)=3D2(a(n-1)+a(n-2)), a(0)=3D0, a(1)=3D1." href=
=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,6,16,44,120,32=
8,896,2448,6688,18272,49920,136384,372608" target=3D"_blank">A080953</a></t=
d><td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.c=
om/%7Enjas/sequences/?q=3D0,1,3,11,39,139,495,1763,6279,22363,79647,283667,=
1010295,3598219" target=3D"_blank">not found</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,4,18,80,356,1584,7048,31360,139536,620864,27625=
28,12291840" target=3D"_blank">not found</a></td><td><a title=3D"A015535 Li=
near 2nd order recurrence." href=3D"http://www.research.att.com/%7Enjas/seq=
uences/?q=3D0,1,5,27,145,779,4185,22483,120785,648891,3486025,18727907,1006=
11585" target=3D"_blank">A015535</a></td>

</tr><tr>
<th>row =3D 3</th><td><a title=3D"A015536 Linear 2nd order recurrence." hre=
f=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,28,-155,859,=
-4760,26377,-146165,809956,-4488275,24871243" target=3D"_blank">A015536</a>=
</td>

<td><a title=3D"A015530 Linear 2nd order recurrence." href=3D"http://www.re=
search.att.com/%7Enjas/sequences/?q=3D0,1,-4,19,-88,409,-1900,8827,-41008,1=
90513,-885076,4111843,-19102600" target=3D"_blank">A015530</a></td><td><a t=
itle=3D"A030195 a(n) =3D 3*a(n-1)+3*a(n-2), a(0)=3D0, a(1)=3D1." href=3D"ht=
tp://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-3,12,-45,171,-648,245=
7,-9315,35316,-133893,507627,-1924560" target=3D"_blank">A030195</a></td>

<td><a title=3D"A014983 a(n) =3D a(n-1) + (-3)^(n-1) =3D (1 - (-3)^n)/4. G.=
f.: x/((1-x)*(1+3*x))." style=3D"color: red;" href=3D"http://www.research.a=
tt.com/%7Enjas/sequences/?q=3D0,1,-2,7,-20,61,-182,547,-1640,4921,-14762,44=
287,-132860,398581" target=3D"_blank">A014983</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,-1,4,-7,19,-40,97,-217,508,-1159,2683,-6160,142=
09,-32689" target=3D"_blank">not found</a></td><td><a title=3D"" style=3D"c=
olor: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,=
0,3,0,9,0,27,0,81,0,243,0,729,0,2187,0,6561,0,19683,0,59049" target=3D"_bla=
nk">not found</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,1,4,7,19,40,97,217,508,1159,2683,6160,14209,326=
89,75316,173383" target=3D"_blank">not found</a></td><td><a title=3D"A01551=
8 a(n) =3D 2*a(n-1) + 3*a(n-2), with a(0)=3D0, a(1)=3D1." style=3D"color: r=
ed;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,2,7,20,=
61,182,547,1640,4921,14762,44287,132860,398581,1195742" target=3D"_blank">A=
015518</a></td>

<td><a title=3D"A030195 a(n) =3D 3*a(n-1)+3*a(n-2), a(0)=3D0, a(1)=3D1." hr=
ef=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,12,45,171,64=
8,2457,9315,35316,133893,507627,1924560,7296561" target=3D"_blank">A030195<=
/a></td><td>

<a title=3D"A015530 Linear 2nd order recurrence." href=3D"http://www.resear=
ch.att.com/%7Enjas/sequences/?q=3D0,1,4,19,88,409,1900,8827,41008,190513,88=
5076,4111843,19102600" target=3D"_blank">A015530</a></td><td><a title=3D"A0=
15536 Linear 2nd order recurrence." href=3D"http://www.research.att.com/%7E=
njas/sequences/?q=3D0,1,5,28,155,859,4760,26377,146165,809956,4488275,24871=
243,137821040" target=3D"_blank">A015536</a></td>

</tr><tr>
<th>row =3D 4</th><td><a title=3D"A015537 Linear 2nd order recurrence." hre=
f=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,29,-165,941,=
-5365,30589,-174405,994381,-5669525,32325149" target=3D"_blank">A015537</a>=
</td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,-4,20,-96,464,-2240,10816,-52224,252160,-121753=
6,5878784" target=3D"_blank">not found</a></td><td><a title=3D"A015521 Line=
ar 2nd order recurrence, a(n) =3D 3 a(n-1) + 4 a(n-2)." href=3D"http://www.=
research.att.com/%7Enjas/sequences/?q=3D0,1,-3,13,-51,205,-819,3277,-13107,=
52429,-209715,838861,-3355443" target=3D"_blank">A015521</a></td>

<td><a title=3D"A085449 Horadam sequence (0,1,4,2)." href=3D"http://www.res=
earch.att.com/%7Enjas/sequences/?q=3D0,1,-2,8,-24,80,-256,832,-2688,8704,-2=
8160,91136,-294912,954368" target=3D"_blank">A085449</a></td><td><a title=
=3D"A123000 Weighted rational recursion solved as Binet: a(n)=3Da(n-1)/2+a(=
n-2) ( see recently " href=3D"http://www.research.att.com/%7Enjas/sequences=
/?q=3D0,1,-1,5,-9,29,-65,181,-441,1165,-2929,7589,-19305,49661,-126881" tar=
get=3D"_blank">A123000</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,0,4,0,16,0,64,0,256,0,1024,0,4096,0,16384,0,655=
36,0,262144" target=3D"_blank">not found</a></td><td><a title=3D"A123000 We=
ighted rational recursion solved as Binet: a(n)=3Da(n-1)/2+a(n-2) ( see rec=
ently " href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,1,5,=
9,29,65,181,441,1165,2929,7589,19305,49661,126881,325525" target=3D"_blank"=
>A123000</a></td>

<td><a title=3D"A085449 Horadam sequence (0,1,4,2)." href=3D"http://www.res=
earch.att.com/%7Enjas/sequences/?q=3D0,1,2,8,24,80,256,832,2688,8704,28160,=
91136,294912,954368,3088384" target=3D"_blank">A085449</a></td><td><a title=
=3D"A015521 Linear 2nd order recurrence, a(n) =3D 3 a(n-1) + 4 a(n-2)." hre=
f=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,3,13,51,205,819=
,3277,13107,52429,209715,838861,3355443,13421773" target=3D"_blank">A015521=
</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,4,20,96,464,2240,10816,52224,252160,1217536,587=
8784,28385280" target=3D"_blank">not found</a></td><td><a title=3D"A015537 =
Linear 2nd order recurrence." href=3D"http://www.research.att.com/%7Enjas/s=
equences/?q=3D0,1,5,29,165,941,5365,30589,174405,994381,5669525,32325149,18=
4303845" target=3D"_blank">A015537</a></td>

</tr><tr>
<th>row =3D 5</th><td><a title=3D"" style=3D"color: red;" href=3D"http://ww=
w.research.att.com/%7Enjas/sequences/?q=3D0,1,-5,30,-175,1025,-6000,35125,-=
205625,1203750,-7046875,41253125" target=3D"_blank">not found</a></td><td><=
a title=3D"A015531 Linear 2nd order recurrence: a(n) =3D 4 a(n-1) + 5 a(n-2=
)." href=3D"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,-4,21,-1=
04,521,-2604,13021,-65104,325521,-1627604,8138021" target=3D"_blank">A01553=
1</a></td>

<td><a title=3D"A015523 Linear 2nd order recurrence." href=3D"http://www.re=
search.att.com/%7Enjas/sequences/?q=3D0,1,-3,14,-57,241,-1008,4229,-17727,7=
4326,-311613,1306469,-5477472" target=3D"_blank">A015523</a></td><td><a tit=
le=3D"A002532 a(n) =3D 2a(n-1) + 5a(n-2)." href=3D"http://www.research.att.=
com/%7Enjas/sequences/?q=3D0,1,-2,9,-28,101,-342,1189,-4088,14121,-48682,16=
7969,-579348" target=3D"_blank">A002532</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,-1,6,-11,41,-96,301,-781,2286,-6191,17621,-4857=
6,136681,-379561" target=3D"_blank">not found</a></td><td><a title=3D"" sty=
le=3D"color: red;" href=3D"http://www.research.att.com/%7Enjas/sequences/?q=
=3D0,1,0,5,0,25,0,125,0,625,0,3125,0,15625,0,78125,0,390625,0,1953125" targ=
et=3D"_blank">not found</a></td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,1,6,11,41,96,301,781,2286,6191,17621,48576,1366=
81,379561" target=3D"_blank">not found</a></td><td><a title=3D"A002532 a(n)=
 =3D 2a(n-1) + 5a(n-2)." href=3D"http://www.research.att.com/%7Enjas/sequen=
ces/?q=3D0,1,2,9,28,101,342,1189,4088,14121,48682,167969,579348,1998541" ta=
rget=3D"_blank">A002532</a></td>

<td><a title=3D"A015523 Linear 2nd order recurrence." href=3D"http://www.re=
search.att.com/%7Enjas/sequences/?q=3D0,1,3,14,57,241,1008,4229,17727,74326=
,311613,1306469,5477472" target=3D"_blank">A015523</a></td><td><a title=3D"=
A015531 Linear 2nd order recurrence: a(n) =3D 4 a(n-1) + 5 a(n-2)." href=3D=
"http://www.research.att.com/%7Enjas/sequences/?q=3D0,1,4,21,104,521,2604,1=
3021,65104,325521,1627604,8138021,40690104" target=3D"_blank">A015531</a></=
td>

<td><a title=3D"" style=3D"color: red;" href=3D"http://www.research.att.com=
/%7Enjas/sequences/?q=3D0,1,5,30,175,1025,6000,35125,205625,1203750,7046875=
,41253125" target=3D"_blank">not found</a></td></tr>
</tbody></table><p>(Red links indicate multiple results: only the first hit=
 is shown, follow the link to see all matches.)</p><p><br></p><br>

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