MMN-2526

A family of lacunary recurrences for Fibonacci numbers

Cristina Ballantine; Mircea Merca;

Abstract

We introduce an infinite family of lacunary recurrences for the Fibonacci numbers and give a combinatorial proof. The first entry in the family was proved by Lucas in 1876.


Vol. 20 (2019), No. 2, pp. 767-772
DOI: https://doi.org/10.18514/MMN.2019.2526


Download: MMN-2526