A Unified Treatment of Certain Classes of Combinatorial Identities
Necdet Batır and Anthony Sofo
Department of Mathematics
Nevşehir Hacı Bektaş Veli University
50300 Nevşehir
Turkey
and
College of Engineering and Science
Victoria University
VIC 8001
Australia
Abstract:
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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