On some series involving reciprocals of binomial coefficients

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摘要

We evaluate the sum of the following series involving the reciprocals of binomial coefficients for n=0,1,2 in terms of elementary functions:∑k=1∞xkkn4kk.

论文关键词：Binomial coefficients,Combinatorial identities,Integral representations,Series,Apéry constant,Catalan constant,Reciprocal binomial sums

论文评审过程：Available online 7 July 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.05.053