[seqfan] Re: Numbers such that there exist a(n) consecutive triangle numbers which sum to a square.
Andrew Weimholt
andrew.weimholt at gmail.com
Sun Apr 18 17:45:47 CEST 2010
On Sun, Apr 18, 2010 at 7:02 AM, Max Alekseyev <maxale at gmail.com> wrote:
> Alternatively this sequence can be defined as the values of d for which
>
> binomial(x+d,3) - binomial(x,3) = square
>
> has nonnegative solutions with respect to x.
>
Yes - differences of tetrahedral numbers. In fact, that is how
I arrived at the diophantine equation.
Andrew
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