On perfect powers that are difference of two Perrin numbers or two Padovan numbers

Autor: Güney Duman, Merve
Zdroj: Proceedings of the Indian National Science Academy; March 2024, Vol. 90 Issue: 1 p124-131, 8p
Abstrakt: Let (Pk)k≥0be the sequence of Padovan numbers and (Rk)k≥0be the sequence of Perrin numbers. In this paper, we solve the equations Rn-Rm=xa,Pn-Pm=xa, and Rn=xawhere n, m, a, xare nonnegative integers, 1≤aand 2≤x≤10.
Databáze: Supplemental Index