Proof Without Words: Each But Two Triangular Numbers Is a Sum of Three Triangular Numbers

Author: Nelsen Roger B.  

Publisher: Mathematical Association of America

E-ISSN: 1931-1346|46|3|172-172

ISSN: 1931-1346

Source: The College Mathematics Journal, Vol.46, Iss.3, 2015-05, pp. : 172-172

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Abstract

We show wordlessly that each triangular number except 1 and 6 is a sum of three triangular numbers.