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

IDENTITIES WITH SQUARES OF BINOMIAL COEFFICIENTS: AN ELEMENTARY AND EXPLICIT APPROACHEmrah K{i}lic, Helmut ProdingerMathematics Department, TOBB University of Economics and Technology, Ankara, Turkey; Mathematics Department, University of Stellenbosch, Stellenbosch, South AfricaAbstract: 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 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 12 Apr 2016. This page was last modified: 20 Apr 2016.
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