[seqfan] Re: n = x*y*z , x + y - z = 1

[Georgi Guninski]

On Sat, Oct 23, 2010 at 01:56:18PM +0300, Georgi Guninski wrote:
> n = x*y*z 
> x + y - z = 1
> all positive integers
> 
> can one maximize the number of solutions ?
>

Can the number of solutions be arbitrary large?

Current records are 20 for A171920 and 22 for A088915.

Related sequences:
A171920 Numbers n with at least one solution to n=x*y*z, x+y-z=1 with ordered triples (x,y,z), x,y,z>=1.
A088915 Nonnegative numbers of the form mn(m+n) with integers m,n
A181485 Indices of records in A171919 = number of solutions to n=xyz, x+y=z+1
A181486 Record values in A171919 = number of solutions to n=xyz, x+y=z+1