[seqfan] Re: three triangular numbers in a row

Charles Greathouse charles.greathouse at case.edu
Fri Jun 24 06:35:59 CEST 2011

No solution with less than 100,000 digits.  I tried to hold out for
the nicer-sounding million digits but that's taking longer than my
patience allows.  I used the standard Diophantine solution for
a(a+1)/2 = b(b+1)/4 and searched for cases where triple the first
value was a triangular number.

Charles Greathouse
Case Western Reserve University

On Thu, Jun 23, 2011 at 11:58 PM, Brendan McKay <bdm at cs.anu.edu.au> wrote:
> A question related to A075528 and A061278 was asked at
>   http://en.wikipedia.org/wiki/Wikipedia:Reference_desk/Mathematics#Striped_triangle_question
> It is equivalent to:
>   Is there any n such that n, 2n, and 3n are all triangular numbers?
> Brendan.
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