Journal of Integer Sequences, Vol. 24 (2021), Article 21.4.3

Finite Binomial Sum Identities with Harmonic Numbers


Necdet Batır
Department of Mathematics
Nevşehir Hacı Bektaş Veli University
50300 Nevşehir
Turkey

Abstract:

We prove some general combinatorial identities involving a variable, a parameter, and partial sums of arbitrary sequences. Applying these formulas, we deduce many finite binomial and central binomial sum identities involving the harmonic numbers. Most of our results are new and some known formulas are particular cases of those obtained here.


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(Concerned with sequences A001008 A002805.)


Received February 28 2021; revised versions received March 1 2021; April 9 2021; April 15 2021. Published in Journal of Integer Sequences, April 16 2020.


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