[seqfan] a question about triangular numbers

Tanya Khovanova mathoflove-seqfan at yahoo.com
Tue Dec 8 18:34:05 CET 2009


Hello all,

Every number can be represented as a sum of three triangular numbers.

I need to know the following sequence: a(n) is the largest possible triangular number when n is represented as a sum of three triangular numbers. The sequence should start 1, 1, 3, 3, 3, 6, 6, 6, 6, which coincides with http://www.research.att.com/~njas/sequences/A057944

Are they the same? Does anyone know a formula?

Tanya




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