Journal of Integer Sequences, Vol. 24 (2021), Article 21.3.2

A Unified Treatment of Certain Classes of Combinatorial Identities

Necdet Batır and Anthony Sofo
Department of Mathematics
Nevşehir Hacı Bektaş Veli University
50300 Nevşehir
College of Engineering and Science
Victoria University
VIC 8001


We propose and prove some general combinatorics formulas. Applying these formulas, we obtain some new binomial harmonic and harmonic Fibonacci and Lucas number identities. We also recover some known identities included in the works of Frontczak and Boyadzhiev.

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(Concerned with sequences A000032 A000045.)

Received November 16 2020; revised versions received November 28 2020; November 30 2020; December 30 2020; January 6 2021; February 2 2021. Published in Journal of Integer Sequences, February 2 2021.

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