The power triangle

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

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Abstract

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:	Language English
Uncontrolled Keywords:	Power triangle, Stirling set number, sums of powers
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/1312
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