The power triangle

Joshi, Kapil D (2018) The power triangle. At Right Angles, 7 (1). pp. 33-37.

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In is described for finding a formula for the sum of the powers of the first the companion article by Prof V G Tikekar, a method n positive integers, for any positive k-th integer k, using a triangular array of numbers—the Power Triangle. This article shows why the method works. The proof makes use of a family of combinatorial numbers called the Stirling set numbers (also called Stirling numbers of the second kind; they are dwelt upon in the other companion article by Dr Shailesh Shirali). By exploiting a relation between these numbers and the power functions, we are led to the formulas we seek.

Item Type: Articles in APF Magazines
Authors: Joshi, Kapil D
Document Language:
Uncontrolled Keywords: Power triangle, Stirling set number, sums of powers
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
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