Fw: a Diophantine equation question

[Jaap Spies]

Jon Schoenfield wrote:

> 
> and the values of c at which the sum is a square are the usual ones, i.e.,
> 
>    c = 0
>    c = k = 31
>    c = k+1 = 32
>    c = 2k(2k+1)(2k+2) = 249984
> 
> and also the (unusual) values
> 
>    c = 4
>    c = 248 (which is 31 * 8)
>    c = 868 (which is 31 * 28)
>    c = 1152 (which is 32 * 36)
> 
> ... and maybe others ...?

No other values according to SAGE and MAGMA.

Jaap