Gospava B. Djordjević, Snežana Djordjević
Abstract
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In this paper we consider the generalized Fibonacci numbers Fn,m and the generalized Lucas numbers Ln,m. Also, we introduce new sequences of numbers An,m, Bn,m, Cn,m and Dn,m. Further, we find the generating functions and some recurrence relations for these sequences of numbers.
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In this paper we consider the generalized Fibonacci numbers Fn,m and the generalized Lucas numbers Ln,m. Also, we introduce new sequences of numbers An,m, Bn,m, Cn,m and Dn,m. Further, we find the generating functions and some recurrence relations for these sequences of numbers.
Key concepts: Fibonacci number, Lucas number, Lucas sequence, Mathematics, Pisano period, Fibonacci polynomials, Recurrence relation, Combinatorics