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

[Zak Seidov]

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).


>Вторник, 22 марта 2016, 23:51 +02:00 от "Bob Selcoe" < rselcoe at entouchonline.net >:
>
>I think it's worth submitting; following Franklin's equation, numbers of the 
>form n^2 + k^2, where k > 0 and n > k + 1, the subsequence when k is maximum 
>for a given n (i.e., n = k+2) is A005893(n-1), n>=2:  10,20,34,52,74,100... 
>which IMHO is a nice relationship.
>
>Cheers,
>Bob Selcoe
>
>--------------------------------------------------
>From: "Frank Adams-Watters" < franktaw at netscape.net >
>Sent: Tuesday, March 22, 2016 3:37 PM
>To: < seqfan at list.seqfan.eu >
>Subject: [seqfan] Re: 10,17,20,26,29,34,37,40,45,50,52,53,?
>
>> Equivalently, numbers of the form x^2 + y^2, where x > 0 and y > x + 1.
>>
>> Franklin T. Adams-Watters
>>
>>
>> -----Original Message-----
>> From: Zak Seidov < zakseidov at mail.ru >
>> To: Sequence Fanatics Discussion list < seqfan at list.seqfan.eu >
>> Sent: Tue, Mar 22, 2016 2:08 pm
>> Subject: [seqfan] Re: 10,17,20,26,29,34,37,40,45,50,52,53,?
>>
>> These are just numbers of form (x^2+y^2)/2 with x>y>1.>Вторник, 22 марта 
>> 2016, 20:38 +02:00 от Zak Seidov 
>> < zakseidov at mail.ru >:>>10,17,20,26,29,34,37,40,45,50,52,53,?>Worth 
>> submitting to OEIS?>>>-- >Zak  Seidov>>-->Seqfan Mailing list - 
>>  http://list.seqfan.eu/--Seqfan Mailing list -  http://list.seqfan.eu/
>>
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>> Seqfan Mailing list -  http://list.seqfan.eu/
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