[seqfan] Re: 10,17,20,26,29,34,37,40,45,50,52,53,?

[Bob Selcoe]

Hi Zak and Seqfans,

OK, so this is A004431 excluding terms k^2 + (k+1)^2, k>=1.  I have posted 
some related
observations there, in case there might be some interest.

Cheers,
Bob S

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From: "Zak Seidov" <zakseidov at mail.ru>
Sent: Wednesday, March 23, 2016 12:51 AM
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: 10,17,20,26,29,34,37,40,45,50,52,53,?

>
> My orginal motivation was (problem for my youngest grandson,12)
> to find pairs {a,b} such that a+b=x^2 and a-b=y^2.
> Or, for the given square x^2 to find {a,b} s.t. a+b=x^2 and a-b is also a
> square, say, y^2 (<x^2).
> But then, for any odd x>1, the one trivial pair is
> {a=(x^2+1)/2,b=(x^2-1)/2}, with y=1.
> Hence I take additionally y>1 and get the sequence in subject (values of
> a).
> Yet, I'd prefer that someone other (not me) submit it.
> P.S. Me personally submit to OEIS only the tiny percent of considered SEQs
> (in FB/twitter).
>
>