EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 99(113), pp. 243–248 (2016)

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IDENTITIES WITH SQUARES OF BINOMIAL COEFFICIENTS: AN ELEMENTARY AND EXPLICIT APPROACH

Emrah K{i}lic, Helmut Prodinger

Mathematics Department, TOBB University of Economics and Technology, Ankara, Turkey; Mathematics Department, University of Stellenbosch, Stellenbosch, South Africa

Abstract: In 2014, Slavik presented a recursive method to find closed forms for two kinds of sums involving squares of binomial coefficients. We give an elementary and explicit approach to compute these two kinds of sums. It is based on a triangle of numbers which is akin to the Stirling subset numbers.

Keywords: binomial coefficients; squares; sums identities

Classification (MSC2000): 11B39

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Electronic fulltext finalized on: 12 Apr 2016. This page was last modified: 20 Apr 2016.

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