Do these sequences exist in the OEIS?
Andrew Plewe
aplewe at sbcglobal.net
Wed May 23 11:43:06 CEST 2007
sequence one: integers which do not satisfy x^2 = y^2 + A(n):
sequence two: integers which satisfy x^2 = y^2 + A(n):
sequence three: smallest square s such that sequence two(n) + s = y^2:
-Andrew Plewe-
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Date: Wed, 23 May 2007 01:57:57 -0700 (PDT)
From: Andrew Plewe <aplewe at sbcglobal.net>
Subject: Do these sequences exist in the OEIS?
To: seqfan at ext.jussieu.fr
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sequence one: numbers which do not satisfy x^2 = y^2 + A(n):
1,2,3,4,5,6,7,9,10,13,14,17,18,19,22,23,25,26,29,30,31,34,38
(i.e., the primes and numbers which cannot be expressed as n(n+E), where E is an even number greater than zero)
sequence two: numbers which do satisfy x^2 = y^2 + A(n):
8,12,15,16,20,21,24,27,28,32,33,35,40,44,45,48
(i.e., the numbers which can be expressed as n(n+E), where E is an even number greater than zero)
sequence three: smallest square s such that sequence two(n) + s = y^2:
1,4,1,9,16,4,1,9,36,4,16,1,9,100,4,1
I've tried searching using small bits of each of these sequences but haven't found any matches yet in the OEIS. Thanks!
-Andrew Plewe-
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sequence one: numbers which do not satisfy x^2 = y^2 + A(n):<br><br>1,2,3,4,5,6,7,9,10,13,14,17,18,19,22,23,25,26,29,30,31,34,38<br><br>(i.e., the primes and numbers which cannot be expressed as n(n+E), where E is an even number greater than zero)<br><br>sequence two: numbers which do satisfy x^2 = y^2 + A(n):<br><br>8,12,15,16,20,21,24,27,28,32,33,35,40,44,45,48<br>(i.e., the numbers which can be expressed as n(n+E), where E is an even number greater than zero)<br><br>sequence three: smallest square s such that sequence two(n) + s = y^2:<br><br>1,4,1,9,16,4,1,9,36,4,16,1,9,100,4,1<br><br>I've tried searching using small bits of each of these sequences but haven't found any matches yet in the OEIS. Thanks!<br><br> -Andrew Plewe-<br>
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All sequences corrected:
1,2,3,4,5,6,7,9,10,11,13,14,17,18,19,22,23,25,26,29,30,31,34,36,37,38,41,42,
43,46,47,etc...
8,12,15,16,20,21,24,27,28,32,33,35,39,40,44,45,48,etc...
1,4,1,9,16,4,1,9,36,4,16,1,25,9,100,4,1,etc...
-----Original Message-----
1,2,3,4,5,6,7,9,10,13,14,17,18,19,22,23,25,26,29,30,31,34,38,etc...
(i.e., integers which cannot be expressed as n(n+E), where E is an even
integer greater than zero)
8,12,15,16,20,21,24,27,28,32,33,35,40,44,45,48,etc...
(i.e., integers which can be expressed as n(n+E), where E is an even integer
greater than zero)
1,4,1,9,16,4,1,9,36,4,16,1,9,100,4,1,etc...
I've tried searching using small bits of each of these sequences but haven't
found any matches yet in the OEIS. Thanks!
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