Corrected: Do these sequences exist in the OEIS?

[Andrew Plewe]

sequence one:
sequence two:
sequence three:
     -Andrew Plewe-
From: Andrew Plewe [mailto:aplewe at sbcglobal.net]
Sent: Wednesday, May 23, 2007 2:43 AM
To: seqfan at ext.jussieu.fr
Subject: Do these sequences exist in the OEIS?
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 03:06:30 -0700
From: "Max Alekseyev" <maxale at gmail.com>
To: "Andrew Plewe" <aplewe at sbcglobal.net>
Subject: Re: Do these sequences exist in the OEIS?
Cc: seqfan at ext.jussieu.fr
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On 5/23/07, Andrew Plewe <aplewe at sbcglobal.net> wrote:
> sequence one: integers 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,etc...
> (i.e., integers which cannot be expressed as n(n+E), where E is an even
> integer greater than zero)

Why 3 belong to this sequence?

2^2 = 1^2 + 3
3 = n*(n+E)  for n=1, E=2.

Max