The power triangle
Joshi, Kapil D (2018) The power triangle. At Right Angles, 7 (1). pp. 3337.

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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 kth 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  
URI:  http://publications.azimpremjiuniversity.edu.in/id/eprint/1312  
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