New Identities from a Combinatorial Approach to Generalized Fibonacci and Generalized Lucas Numbers

Published 12 Dec 2013 in math.CO | (1312.3553v4)

Abstract: We present here some new identities for generalizations of Fibonacci and Lucas numbers by combinatorially interpreting these numbers in terms of numbers of certain tilings of a $1 \times m$ board. As a consequence, some new interesting identities involving the ordinaries Fibonacci and Lucas numbers are derived.

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Authors (1)

Robson da Silva

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