Article
On the least significant p-adic digits of certain Lucas numbers
Electronic Journal of Combinatorial Number Theory
(2014)
Abstract
We calculate the least significant p-ary digits of certain Lucas numbers Vn = Vn(P,Q)withV0 =2,V1 =PandVn =PVn1QVn2 forn2. Webase our study on an observation regarding these numbers: as m increases, more and more p-adic digits match in Vkpm with integer k 1. We use multi-section identities for generating functions and derive congruences for the underlying sequences.
Keywords
- Lucas numbers
Disciplines
Publication Date
March 7, 2014
Citation Information
Tamas Lengyel. "On the least significant p-adic digits of certain Lucas numbers" Electronic Journal of Combinatorial Number Theory Vol. 14 (2014) Available at: http://works.bepress.com/tamas_lengyel/2/