Exact Divisibility by Powers of the Fibonacci and Lucas Numbers
Department of Mathematics, Faculty of Science
Ratchamankanai Rd, Nakhon Pathom
We give new results on exact divisibility by powers of the Fibonacci
and Lucas numbers. For example, we prove that if Fnk exactly divides m
and n is not congruent to 3 modulo 6,
then Fnk+1 exactly divides
also provide some examples and open questions.
Full version: pdf,
(Concerned with sequences
Received July 24 2014;
revised version received November 5 2014; November 6 2014.
Published in Journal of Integer Sequences, November 7 2014.
Journal of Integer Sequences home page