THE GENERALIZED TRIBONACCI p-NUMBERS AND APPLICATIONS
Keywords:
tribonacci p-numbers, tribonacci numbers, tribonacci p-triangle
Abstract
The generalized tribonacci p-numbers (p ∈ N), which generalizes the tribonacci numbers, are integers satisfying
Tp(n + 2) =Tp(n + 1) +Tp(n)+Tp(n−p).
We construct the companion matrix for the generalized tribonacci pnumbers and derive some interesting identities. Several explicit formulas for the tribonacci p-numbers are also derived using the tribonacci ptriangle.
Published
2020-02-07
Section
Articles