The binomial sums for four types of polynomials involving floor and ceiling functions

Abstract

Several binomial sums are established for the Pell polynomials and the Pell-Lucas polynomials, as well as two types of the Chebyshev polynomials and the Fibonacci-Lucas numbers, which include two special cases proposed by Hideyuki Othsuka in 2024.

Keywords

• the binomial theorem
• pell polynomials
• pell-lucas polynomials
• the first kind of chebyshev polynomials
• the second kind of chebyshev polynomials