Square numbers, square pyramidal numbers, and generalized Fibonacci polynomials

Authors : Adem ŞAHİN

Pages : 91-99

Doi:10.54187/jnrs.1105346

View : 14 | Download : 12

Publication Date : 2022-04-30

Article Type : Research Paper

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 pyramidal number, generalized Fibonacci polynomials