A139097 formula and extension correct?
Richard Mathar
mathar at strw.leidenuniv.nl
Sun Jun 15 12:47:09 CEST 2008
Thankyou, Max. It would be good to add the comment that these
are Gaussian Markov numbers. Perhaps that will have to wait
until Alex Fink & I produce our paper? And there are several
similar sequences which fall into the same category. Some
examples are in Friday's message. R.
On Sun, 15 Jun 2008, Maximilian Hasler wrote:
> old title "a(0) = 1, a(2) = 1; thereafter a(n) = 9 a(n-1) + a(n-2)"
> has a typo (a(2)), I suggest new title, give g.f., PARI & cite R.K.G's
> idea of extending to the left side.
>
> %I A015455
> %S A015455 1,1,10,91,829,7552,68797,626725,5709322,52010623,473804929,
> %T A015455 4316254984,39320099785,358197153049,3263094477226,29726047448083,
> %U A015455 270797521509973,2466903741037840,22472931190850533
> %N A015455 a(n) = 9 a(n-1) + a(n-2) for n>1; a(0) = a(1) = 1.
> %C A015455 Generalized Fibonacci numbers.
> %C A015455 As R.K.Guy suggested on the SeqFan list, the sequence could
> be extended "to the left side" by ..., 10, 1, 1, -8, 73, -665, 6058,
> -55187, 502741, -4579856, 41721445, ... by using the recurrence
> equation to get a(n-2) = a(n) - 9 a(n-1). The sequence 1,-8,73,...
> would have g.f. (1+x)/(1+9x-x^2).
> %H A015455 R. K. Guy, "A further family of sequences", SeqFan mailing
> list (www.seqfan.eu), Jun 13 2008
> %H A015455 Tanya Khovanova, <a
> href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive
> Sequences</a>
> %F A015455 g.f. = (1 - 8x)/(1 - 9x - x^2). - M.F.Hasler, Jun 14 2008
> %F A015455 a(n)=Sum_{k, 0<=k<=n} 8^k*A055830(n,k) .
> - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 18 2006
> %o A015455 (PARI) A015455(n) =
> polcoeff((1-(O(x^n)+8)*x)/(1-9*x-x^2),n) \\ - M.F.Hasler, Jun 14 2008
> %Y A015455 Sequence in context: A079928 A002452 A096261 this_sequence
> A110410 A051789 A015467
> %Y A015455 Adjacent sequences: A015452 A015453 A015454 this_sequence
> A015456 A015457 A015458
> %K A015455 nonn,easy
> %O A015455 0,3
> %A A015455 Olivier Gerard (ogerard(AT)ext.jussieu.fr)
> %E A015455 Edited by M.F.Hasler (www.univ-ag.fr/~mhasler), Jun 14 2008
Dear Seqfans, A certain Juri-Stepan Gerasimov has submitted
a bunch of sequences but not using the web page.
This makes them much harder to edit - my editing program
processes submissions in the web page format. These will
have to edited by hand.
I edited some of them myself, but I don't have time to
do the rest.
I have asked the author to use the web page, but he ignores my messages.
So I could use some help. Here are the messages that he sent me.
What needs to be done is to put them into the internal format.
Or of course to reject some of them, if they do not
(I could not understand some of the defintions,
but I did nopt spend any time on them.)
If someone is willing to do this, please post a note here, to
avoid duplication of effort.
Thanks!
Neil
From 2stepan at rambler.ru Tue Jun 10 04:29:31 2008
Estimble professor N.J.A.Sloane!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 10 2008
New sequence (without an A-number):
5, 18, 30, 42, 29, 31, 78, 90, 53, 59, 61, 138, 73, 162, 89, 0, 198,
210, 222, 0, 0, 258, 137, 139, 149, 151, 157, 330, 173, 179, 181, 191,
390, 199, 0, 211, 0, 450, 462, 239, 241, 251, 257, 263, 269, 271, 558,
283, 293, 0, 0, 318, 630, 0, 0, 331, 337, 0, 347, 702
Definition of sequence:
A002476: -, 7, 13, 19, -, 31, 37, 43, -, -, 61, 67, 73, 79, -, -, 97,
103, 109, -, -, 127, -, 139
+
A007528: 5, 11, 17, 23, 29. -, 41, 47, 53, 59, -, 71, -, 83, 89,
-,101,107,113, -, -,131,137, -
=
198, 210, 222, 0, 0, 258,137, 139,
Index:
1
Formula:
-
References:
-
Links:
N.J.A.Sloane, Table of n, a(n) for n = 0...200
http://ufkefl.narod.ru/primes
Example:
If n =1, then a (1) = A002476(-) + A007528(1) = 0 + 5 = 5
If n =11, then a (11) = A002476(7) + A007528(-) = 61 + 0 = 61
If n =18, then a (18) = A002476(12) + A007528(14) = 103 +107 = 210
If n = 21, then a (21) = A002476(-) + A007528(-) = 0 + 0 = 0
Comments:
-
Program:
-
Cross-references:
Cf. A002476, A007528
Keywords:
nonn.
From 2stepan at rambler.ru Tue Jun 10 05:19:00 2008
Estimble professor N.J.A.Sloane!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 10 2008
New sequence (without an A-number);
1, 3, 3, 3, 1, 2, 3, 3, 1, 1, 2, 3, 2, 3, 1, 0, 3, 3, 3, 0, 0, 3, 1, 2,
1, 2, 2, 3, 1, 1, 2, 1, 3, 2, 0, 2, 0, 3, 3, 1, 2, 1, 1, 1, 1, 2, 3, 2,
1, 0, 0, 3, 3, 0, 0, 2, 2, 0, 1, 3,
Definition of sequence:
A002476: -, 7, 13, 19, - , 31, 37, 43, -, -, 61, 67, 73, 79, -, -, 97,
103, 109, -, -, 127, -, 139
A007528: 5, 11, 17, 23, 29, -, 41-,47,53,59, -,71, -,83,89,
-,101,107,113, -, -, 131, 137, -
=
A002476: 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0,
0, 1, 1, 1, 0, 0, 1, 0, 1
A007528: 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1,
0, 1, 1, 1, 0, 0, 1, 1, 0
=
A ( new ) : 1, 3, 3, 3, 1, 2, 3, 3, 1, 1, 2, 3, 2, 3, 1,
0, 3, 3, 3, 0, 0, 3, 1, 2
Index:
1
Formula:
-
Referances:
-
Links:
N.J.A.sloane, Table of n, a (n) for n = 0...200
http://ufkefl.narod.ru/primes
Example:
-
Cjmments:
-
Program:
-
Cross-references:
Cf. A002476, A007528
Keywords:
nonn.
From 2stepan at rambler.ru Tue Jun 10 11:07:57 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 10 2008
New sequence (without an A-number)
For a new sequence:
6, 15, 5, 10, 14, 5, 10, 13, 5, 2, 15, 4, 2, 11, 1, 10, 6, 5, 12, 15, 0,
8, 7, 5, 8, 10, 5, 10, 12, 4, 2, 14, 0, 10, 3, 5, 2, 5, 5, 2, 9, 1, 8,
13, 5, 2, 14, 1, 2, 9, 5, 0, 12, 0, 10, 2, 5, 12, 2, 5, 12, 7, 0, 8, 14,
5, 8, 6, 4, 8
Definition of sequence:
A030430: -, 11, -, 31, 41, -, 61, 71, -, -, 101, -, -, 131, -, 151,
-, -, 181, 191, -, 211, -, -,
A030431: 3,13, 23, -, 43, 53, -, 73, 83, -, 103, 113, -, -, -,
-,163,173,183,193, -, -,223,233
A030432: 7, 17, -, 37, 47, -, 67-, -, 97, 107, -, 127, 137, -, 157, 167,
-, -, 197, -, -, 227, -,
A030433: -, 19, 29, -, -, 59, -, 79, 89, -, 109, -, -, 139, 149, -, -,
179, -, 199, -, -, 229, 239
=
A030430: 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1,
0, 0, 1, 1, 0, 1, 0, 0,
A030431: 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0,
1, 1, 1, 1, 0, 0, 1, 1,
A030432: 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1,
1, 0, 0, 1, 0, 0, 1, 0,
A030433: 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0,
0, 1, 0, 1, 0, 0, 1, 1,
=
A ( new ) : 6, 15, 5, 10, 14, 5,10,13, 5, 2, 15, 4, 2, 11, 1, 10, 6, 5,
12, 15, 0, 8, 7, 5
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A030430, AA030431, A030432, A030433
Keywords:
nonn.
From 2stepan at rambler.ru Thu Jun 12 10:03:20 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 10 2008
New sequence (without an A-number)
For a new sequence:
1, 32, 16, 129, 73, 36, 194, 6, 42, 176, 225, 12, 21, 89, 18, 97, 25,
243, 44, 44, 196, 34, 166, 90, 149, 152, 109, 66, 135, 224, 89, 169,
169, 28, 82, 210, 33, 213. 179, 170, 38, 92, 15. 96, 252, 171,
Definition of sequence:
A132236: 29, 59, 89, - , 149, 179, - , 239, 269, - , - , 359, 389, 419,
449, 479, 509, - , 569
A132235: 23, 53, 83, 113, - , 173, - , 233, 263, 293, - , 353, 383, -
, 443, - , 503, - , 563
A132234: 19, - , 79, 109, 139, - , 199, 229, - , - , - , 349, 379,
409, 439, - , 499, - , - ,
A039919: 17, 47, - , 107, 137, 167, 197, 227, 257, - , 317, 347, - , - ,
- , 467, - , - , 557
A132233: 13, 43, 73, 103, - , 163, 193, 223, - , 283, 313, - , 373, - ,
433, 463, - , 523, - ,
A132232: 11, 41, 71, 101, 131, - , 191, - , 251, 281, 311, - , - , 401,
431, 461, 491, 521, -,
A132231: 7, 37, 67,97,127,157, - , - , - , 277, 307, 337, 367, 397, -
,457,487, - , - , 547,
A136066: - , 31, 61, - , - , 151,181,211,241,271, - , 331, - , -
, 421, - , - , - , 541,
=
A132236: 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0,
0, 0, 0, 0, 1, 0,
A132235: 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0,
1, 0, 1, 0, 1, 0,
A132234: 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0,
0, 0, 1, 0, 1, 1,
A039949: 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1,
1, 1, 0, 1, 1, 0,
A132233: 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0,
1, 0, 0, 1, 0, 1,
A132232: 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1,
0, 0, 0, 0, 0, 1,
A132231: 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0,
0, 1, 0, 0, 1, 0,
A136066: 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1,
1, 0, 1, 1, 1, 0,
=
A ( new ) : 1. 32, 16, 129, 73, 36, 194, 6, 42, 176, 225, 12, 21, 89,
18, 97, 25, 243,
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A132236,A132235, A132234, A039919, A132233, A132232, A136066
Keywords:
nonn.
From 2stepan at rambler.ru Thu Jun 12 14:51:58 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 12 2008
New sequence (without an A-number)
For a new sequence:
1, 15, 57, 85, 99, 141, 155, 169, 183, 225, 253, 267, 281, 295, 309,
323, 351, 365, 393,407, 435, 449, 477, 505, 519, 533, 561, 575, 589,
603, 631, 645, 659, 687, 715, 729, 771, 785, 799, 813, 827, 841, 855,
869, 897, 925, 939, 981, 995,
Definition of sequence:
Nonprimes of form 14k+1
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A136062
Keywords:
nonn.
From 2stepan at rambler.ru Thu Jun 12 15:01:59 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 12 2008
New sequence (without an A-number)
For a new sequence:
9, 51, 65, 93, 121, 135, 177, 205, 219, 247, 261, 275, 289, 303, 345,
387, 415, 429, 471, 485, 513, 527, 555, 583, 597, 611, 625, 639, 667,
681, 695, 723, 737, 765, 779, 793, 807,
Definition of sequence:
Nonprimes of form 14k+9
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A045392
Keywords:
nonn.
From 2stepan at rambler.ru Thu Jun 12 15:39:22 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 12 2008
New sequence (without an A-number)
For a new sequence:
1, 22, 64, 85, 106, 148, 169, 190, 232, 253, 274, 295, 316, 358, 400,
421, 442, 484, 505, 526, 568, 589, 610, 652, 673, 694, 715, 736, 778,
799, 820, 841, 862, 904, 925, 946, 988, 1030, 1072, 1114, 1135, 1156,
1177, 1198, 1219, 1240, 1261, 1282, 1324, 1345, 1366, 1387, 1408, 1450,
1492
Definition of sequence:
Nonprimes of form 21k+1
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A136069
Keywords:
nonn.
From 2stepan at rambler.ru Fri Jun 13 06:59:00 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 13 2008
New sequence (without an A-number)
For a new sequence:
3, 4, 5, 5, 12, 13, 8, 15, 17, 20, 21, 29, 12, 35, 37, 9, 40, 41, 45,
48, 53, 11, 60, 61, 48, 55, 73, 39, 80, 89, 65, 72, 97, 20, 99, 101, 60,
91, 109, 15, 112, 113,
Definition of sequence:
Sequence of Pythagorean triangles (natural x, natural y, prime z)
Index:
1
Formula:
-
Referances:
Ìàëàõîâñêèé Â.Ñ. ×èñëà çíàêîìûå è íåçíàêîìûå. -- Êàëèíèíãðàä: ßíòàðíûé
ñêàç, 1998. -- 440 ñ.
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. -
Keywords:
nonn.
From 2stepan at rambler.ru Fri Jun 13 07:24:30 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 13 2008
New sequence (without an A-number)
For a new sequence:
4, 3, 5, 12, 5, 13, 60, 11, 61, 180, 19, 181, 420, 29, 421,
Definition of sequence:
Sequence of Pythagorean triangles (natural x, prime y, prime z)
Index:
1
Formula:
x^2+y^2=z^2
Referances:
Ìàëàõîâñêèé Â.Ñ. ×èñëà çíàêîìûå è íåçíàêîìûå. -- Êàëèíèíãðàä: ßíòàðíûé
ñêàç, 1998. -- 440 ñ.
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. -
Keywords:
nonn.
From 2stepan at rambler.ru Fri Jun 13 07:50:22 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 13 2008
New sequence (without an A-number)
For a new sequence:
3, 8, 5, 5, 24, 13, 7, 48, 20, 11, 120, 61, 13, 168, 85,
Definition of sequence:
Sequence of integer isosceles triangles (prime h, natural x, natural
y=z)
Index:
1
Formula:
S=(1/2)*h*x
Referances:
Ìàëàõîâñêèé Â.Ñ. ×èñëà çíàêîìûå è íåçíàêîìûå.-- Êàëèíèíãðàä: ßíòàðíûé
ñêàç, 1998. -- 440 ñ.
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. -
Keywords:
nonn.
From 2stepan at rambler.ru Fri Jun 13 08:09:30 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 13 2008
New sequence (without an A-number)
For a new sequence:
4, 6, 5, 12, 10, 13, 24, 14, 25, 60, 22, 61,
Definition of sequence:
Sequence of integer isosceles triangles [h=2*p, x=(1/2)*(p^2-1),
y=z=(1/2)*(p^2+1)]
Index:
1
Formula:
-
Referances:
Ìàëàõîâñêèé Â.Ñ. ×èñëà çíàêîìûå è íåçíàêîìûå. -- Êàëèíèíãðàä: ßíòàðíûé
ñêàç, 1998. -- 440 ñ.
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf.
Keywords:
nonn.
From 2stepan at rambler.ru Fri Jun 13 08:27:04 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 13 2008
New sequence (without an A-number)
For a new sequence:
3, 8, 5, 5, 24, 13, 15, 16, 17, 21, 40, 29, 35, 24, 37,
Definition of sequence:
Sequence of integer isosceles triangles [h=m^2-k^2, x=4*m*k, prime
y=z=p] and [p=m^2+k^2]
Index:
1
Formula:
-
Referances:
Ìàëàõîâñêèé Â.Ñ. ×èñëà çíàêîìûå è íåçíàêîìûå. -- Êàëèíèíãðàä: ßíòàðíûé
ñêàç, 1998. -- 440 ñ.
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. -
Keywords:
nonn.
From 2stepan at rambler.ru Fri Jun 13 10:29:14 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 13 2008
New sequence (without an A-number)
For a new sequence:
Definition of sequence:
Lengths series nonprimes and primes congruent thus:
A136066: - , 31, 61, - , - , 151, 181, 211, 241, 271, - , - , 331- , -
, 421, - , - , - , 541, 571,
+
A132231: 7, 37, 67, 97, 127, 157, - , - , - , 277, 307, 337, 367, 397,
- , 457, 487, - , 547,
+
A132232: 11, 41, 71, 101, 131, - , 191, - , 251, 281, 311, - , - , 401,
431, 461, 491, 521, - ,
+
A132233: 13, 43, 73, 103, - , 163, 193, 223, - , 283, 313, - , 373, - ,
433, 463, - , 523, - ,
+
A039919: 17, 47, - , 107, 137, 167, 197, 227, 257, - , 317, 347, - , - ,
- , 467, - , - , 557,
+
A132234: 19, - , 79, 109, 139, - , 199, 229, - , - , - , 349, 370, 409,
439, - , 499, - , - ,
+
A132235: 23, 53, 83, 113, - , 173, - , 233, 263, 293, - , 353, 383, - ,
443, - , 503, - , 563,
+
A132236: 29, 59, 89, - , 149, 179, - , 239, 269, - , - , 359, 389, 419,
449, 479, - , 569,
=
,79,83,89, -,97,101,103,107,109,113, - , - ,127,131, -,137,139,
-,149,151,157, -,163,167, -,173,179,181, -,191,193,197,199, -, -, -,
-,223,227,229,233,239,241, -,251, -,257, -,263,269,271,277,281,283, -,
-,293, -, -,307,311,313,317, -, -, -,331,337, -, -,347,349,353,359,
-,367, -,373, -,379,383,389, -,397,401, -, -,409, -,419,421, -,431,433,
-,439,443,449, -,457,461,463,467, -, -,479, -,487,491, -, -,499,503,509,
-,521,523, -, -, -, -,541,547, -,
=
A ( new ): 1, 12, 1, 6, 1, 3, 1, 6, 2, 2, 1, 2, 1, 3, 1, 2, 1, 3, 1, 4,
4, 5, 1, 1, 1, 1, 1, 6, 2, 1, 2, 4, 3, 2, 2, 4, 1, 1, 1, 1, 1, 3, 1, 2,
2, 1, 1, 2, 1, 2, 1, 3, 1, 4, 2, 1, 1, 2, 2, 3, 1, 2, 4, 2,
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A136066, A132231, A132232, A132233, A039919, A132234, A132235,
A132236
Keywords:
nonn.
From 2stepan at rambler.ru Fri Jun 13 11:55:31 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 13 2008
New sequence (without an A-number)
For a new sequence:
1, 15, 57, 85, 99, 141, 155. 169, 183, 225, 253, 267, 295, 309, 323,
351, 365, 393, 407, 435, 477, 505, 519, 533, 561, 575, 589, 603, 645,
687, 715, 729, 771, 785, 799, 813,
Definition of sequence:
Nonprimes of form 14k+1
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A136062
Keywords:
nonn.
From 2stepan at rambler.ru Fri Jun 13 12:03:54 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 13 2008
New sequence (without an A-number)
For a new sequence:
45, 87, 115, 129, 143, 171, 185, 213, 255, 297, 325, 351, 339, 381, 395,
423, 437, 451, 465, 493, 507, 535, 549, 591, 605, 633, 675, 689, 703,
717, 731, 745, 759, 801, 815,
Definition of sequence:
Nonrrimes of form 14k+3
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A045437
Keywords:
nonn.
From 2stepan at rambler.ru Fri Jun 13 12:17:22 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 13 2008
New sequence (without an A-number)
For a new sequence:
9, 51, 65, 93, 121, 135, 177, 205, 219, 247, 261, 275, 289, 303, 345,
387, 415, 429, 471, 485, 513, 527, 555, 583, 597, 611, 625, 639, 667,
681, 695, 723, 737, 765, 779, 793, 807,
Definition of sequence:
Nonprimes of form 14k+9
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. -
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 02:37:00 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
3, 7, 7, 11, 13, 17, 19, 23, 37, 41, 43, 47, 67, 71, 79, 83, 97, 101,
103, 107, 109, 113, 127, 131, 163, 167. 193, 197, 229, 233, 277, 281,
307, 311, 313, 317, 349, 353, 379, 383, 439, 443, 457, 461, 463, 467,
487, 499, 503, 613, 617, 643, 647, 673, 677, 739, 743,
Definition of sequence:
List of primes (p, p+4)
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A000040
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 02:47:40 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
2, 3, 17, 3, 7, 257,
Definition of sequence:
List of triplet primes (p, 2^p -1, 2^2^p+1)
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ufkefl.narod.ru/primes
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A000040
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 06:26:00 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
7, 59, 137, 163, 241, 293, 397, 449, 631, 683, 709, 761, 787, 839, 1021,
1151, 1229,
Definition of sequence:
Primes of the form 26n+7
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ssd.sscc.ru/qt/primes.html
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A059245, A100202, A102732, A093191, A093350, A092178
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 06:43:50 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
61, 113, 139, 191, 269, 347, 373, 503, 607, 659, 919, 971, 997, 1049,
1153, 1231, 1283
Definition of sequence:
Primes of the form 26n+9
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ssd.sscc.ru/qt/primes.html
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A059245, A100202, A102732, A093191, A093350, A092178
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 06:47:02 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
11, 37, 89, 167, 193, 271, 349, 401, 479, 557, 661, 739, 947, 1051,
1103, 1129, 1181, 1259,
Definition of sequence:
Primes of the form 26n+11
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ssd.sscc.ru/qt/primes.html
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A059245, A100202, A102732, A093191, A093350, A092178
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 06:50:00 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
41, 67, 197, 223, 353, 379, 431, 457, 509, 587, 613, 691, 769, 821, 977,
1237, 1289,
Definition of sequence:
Primes of the form 26n+15
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ssd.sscc.ru/qt/primes.html
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A059245, A100202, A102732, A093191, A093350, A092178
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 06:56:04 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
23, 101, 127, 179, 257, 283, 439, 491, 569, 647, 673, 751, 829, 881,
907, 1063, 1193, 1297,
Definition of sequence:
Primes of the form 26n+23
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ssd.sscc.ru/qt/primes.html
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A059245, A100202, A102732, A093191, A093350, A092178
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 07:35:00 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
1, 27, 105, 183, 209, 235, 261, 287, 339, 365, 391, 417, 469, 495, 573,
625, 651, 703, 729, 755, 781, 807, 833, 885, 963, 989, 1015, 1041, 1067,
1119, 1145, 1197, 1275,
Definition of sequence:
Nonprimes of the form 26n+1
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ssd.sscc.ru/qt/primes.html
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A059245, A100202, A102732, A093191, A093350, A092178
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 07:49:04 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
Definition of sequence:
55, 81, 133, 159, 185, 237, 289, 315, 341, 393, 445, 471, 497, 549, 575,
627, 679, 705, 731, 783, 835, 861, 913, 939, 965, 1017, 1043, 1095,
1121, 1147, 1173, 1199, 1225, 1251,
Primes of the form 26n+3
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ssd.sscc.ru/qt/primes.html
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A100202
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 07:59:45 2008
Estimble professor Neil J.A.Sloene!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
57, 135, 161, 187, 213, 265, 291, 343, 369, 395, 447, 473, 525, 551,
603, 629, 655, 681, 707, 759, 785, 837, 889, 915, 993, 1045, 1071, 1149,
1175, 1227, 1253,
Definition of sequence:
Nonprimes of the form 26n+5
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ssd.sscc.ru/qt/primes.html
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A102732
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 09:31:13 2008
Estimble professor Neil J.A.Sloane!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
69, 95, 121, 147, 225, 303, 329, 355, 381, 407, 459, 485, 511, 537, 589.
615, 687, 693, 745, 771, 849, 875, 901, 927, 979, 1005, 1057, 1083,
1135, 1161, 1239, 1265,
Definition of sequence:
Primes of the form 26n+17
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ssd.sscc.ru/qt/primes.html
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A093191
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 09:43:20 2008
Estimble professor Neil J.A.Sloane!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
45, 123, 175, 201, 253, 279, 305, 357, 435, 513, 539, 565, 591, 679,
695, 721, 747, 799, 825, 851, 903, 955, 981, 1007, 1059, 1085, 1111,
1137, 1189, 1215, 1241, 1267,
Definition of sequence:
Primes of the form 26n+19
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ssd.sscc.ru/qt/primes.html
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A093350
Keywords:
nonn.
From 2stepan at rambler.ru Sat Jun 14 09:54:21 2008
Estimble professor Neil J.A.Sloane!
To send in a New Sequence
Your name: Juri-Stepan Gerasimov
Email address: 2stepan at rambler.ru
June 14 2008
New sequence (without an A-number)
For a new sequence:
Definition of sequence:
21, 99, 125, 177, 203, 255, 333, 385, 411, 437, 489, 515, 567, 645, 671,
697, 723,749, 775, 801, 879, 905, 931, 957, 1035, 1113, 1139, 1165,
1191, 1243, 1269, 1295,
Primes of the form 26n+21
Index:
1
Formula:
-
Referances:
-
Links:
http://www.research.att.com/~njfs/sequences/Submit.html
http://ssd.sscc.ru/qt/primes.html
Example:
-
comments:
-
Program:
-
Cross-references:
Cf. A092178
Keywords:
nonn.
More information about the SeqFan
mailing list