Identities With Squares of Binomial Coefficients: an Elementary and Explicit Approach
Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 243
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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.
Classification :
11B39
Keywords: binomial coefficients, squares, sums identities
Keywords: binomial coefficients, squares, sums identities
@article{10_2298_PIM1613243K,
author = {Emrah K{\i}l{\i}\c{c} and Helmut Prodinger},
title = {Identities {With} {Squares} of {Binomial} {Coefficients:} an {Elementary} and {Explicit} {Approach}},
journal = {Publications de l'Institut Math\'ematique},
pages = {243 },
publisher = {mathdoc},
volume = {_N_S_99},
number = {113},
year = {2016},
doi = {10.2298/PIM1613243K},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1613243K/}
}
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Emrah Kılıç; Helmut Prodinger. Identities With Squares of Binomial Coefficients: an Elementary and Explicit Approach. Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 243 . doi: 10.2298/PIM1613243K
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