Recurrence relation

Lucas sequence

Difference polynomials

Vertex (graph theory)

Graph

Mathematics

Lucas number

Fibonacci polynomials

Fibonacci number

Combinatorics

Orthogonal polynomials

Chaos Solitons & Fractals

In this study, the Pell numbers are placed clockwise on the vertices of the polygons with a number corresponding to each vertex. Then, a relation among the numbers corresponding to a vertex is given. Furthermore, we obtain a formula which gives the mth term of the sequence formed at the kth vertex in an n-gon. The same procedure is repeated with Pell-Lucas, Jacobsthal and Jacobsthal-Lucas numbers.

New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers