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Faulhaber’s Triangle

by Mohammed Torabi-Dashti

This article originally appeared in:
College Mathematics Journal
March, 2011

Subject classification(s): Discrete Mathematics | Recursion | Numbers and Computation | Patterns and Sequences | Number Patterns
Applicable Course(s): 3.7 Discrete Math

Like Pascal’s triangle, Faulhaber’s triangle is easy to draw: all you need is a little recursion.  The author demonstrates that the rows are the coefficients of polynomials representing sums of integer powers.

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