2022•The Journal of Difference Equations and ApplicationsRequires access
Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers
Necdet Batır, Kwang-Wu Chen
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Abstract
We prove a general combinatorial formula involving the reciprocals of the binomial coefficients and the partial sum of an arbitrary sequence. Applying this formula we offer many combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers; some of which have been considered previously and the others are new.