Binomial Fibonacci Sums from Chebyshev Polynomials
Department of Physics and Engineering Physics
Obafemi Awolowo University
Faculty of Mathematics and Computer Science
Vasyl Stefanyk Precarpathian National University
Shevchenka Str. 57
We explore new types of binomial sums with Fibonacci and Lucas numbers.
The binomial coefficients under consideration are
We derive the identities by relating the underlying sums to Chebyshev polynomials.
Finally, we study some combinatorial sums and derive a connection with a recent paper by Chu and Guo from 2022.
Full version: pdf,
(Concerned with sequences
Received August 5 2023; revised version received December 5 2023.
Published in Journal of Integer Sequences,
December 11 2023.
Journal of Integer Sequences home page