Square numbers, square pyramidal numbers, and generalized Fibonacci polynomials

Abstract

In this paper, we derive two interesting formulas for square and square pyramidal numbers. We focus on the linear recurrence relation with constant coefficients for square and square pyramidal numbers. Then we deal with the relationship between generalized Fibonacci polynomials and these numbers. Also, we give some determinant representations of these numbers.

Keywords

• square numbers
• square pyramidalnumber
• generalized fibonaccipolynomials