triangle/triangle

David W. Wilson wilson at aprisma.com
Wed Nov 21 16:53:25 CET 2001


"Brian L. Galebach" wrote:
> 
> if b is allowed to equal 1, some square values of c are possible....
> 36=36/1.  Is 1 allowed?
> 
> -----Original Message-----
> From: wilson at jussieu.fr [mailto:wilson at jussieu.fr]On Behalf Of David W.
> Wilson
> Sent: Wednesday, November 21, 2001 10:31 AM
> To: Math Fun; Sequence Fanatics
> Subject: triangle/triangle
> 
> Let c = a/b where a and b are positive triangulars and c is an integer.
> Empirically, it looks as if c can take on any positive integer value
> except a square >= 4.  Is this the case?

Yes, I was including 1, so my original postulation was incorrect.

So I suppose triangle/triangle can be anything but a nontriangular square?





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