Scaled Fibonacci- and Lucas-Producing Rational Polynomials
Department of Mathematics and Statistics
Saint Peter's University
Jersey City, NJ 07306
Mahidol University International College
Salaya, Nakhon Pathom 73170
We study families of interpolating rational polynomials that produce
scaled Fibonacci or Lucas numbers on certain integer values. We use
the expansions of these families in binomial polynomials and other
formats to establish several identities involving harmonic numbers,
binomial coefficients, and various recursively defined sequences.
Full version: pdf,
(Concerned with sequences
Received February 14 2022; revised versions received March 13 2022;
March 16 2022.
Published in Journal of Integer Sequences,
March 24 2022.
Journal of Integer Sequences home page