b-file sanity check

[N. J. A. Sloane]

8450 is the first term in A025305 but not A025287.

31250 is the first term in A025287 but not A025305.

Ray Chandler

> -----Original Message-----
> From: Richard Mathar [mailto:mathar at strw.leidenuniv.nl] 
> Sent: Wednesday, May 28, 2008 2:08 PM
> To: seqfan at ext.jussieu.fr
> Subject: Numbers that are sums of (distinct) squares in exactly k ways
> 
> 
> We have some sequences of numbers that can be written as a sum
> of squares in in exactly k (k variable) ways, with or without
> the restriction that these squares are distinct, for example
> 
> http://research.att.com/~njas/sequences/?q=id:A25305|id:A25287
> 
> Q: when do these start to differ? Is there a reason of symmetry why
> a number n, which is a sum of nonzero squares in exactly 4 ways,
> cannot have one representation amongst these where n=2*x^2?
> 
> 
> The challenge is either to proof that these sequences are the same,
> or to find some least number which is in one sequence but not
> the other.
> 
> Richard Mathar http://www.strw.leidenuniv.nl/~mathar