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 | ||
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Authors: | Joshi, Kapil D | ||
Document Language: |
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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 | ||
URI: | http://publications.azimpremjiuniversity.edu.in/id/eprint/1312 | ||
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