Generalized order-$k$ Fibonacci and Lucas functions
نویسندگان
چکیده
منابع مشابه
ON THE GENERALIZED ORDER-k FIBONACCI AND LUCAS NUMBERS
In this paper we consider the generalized order-k Fibonacci and Lucas numbers. We give the generalized Binet formula, combinatorial representation and some relations involving the generalized order-k Fibonacci and Lucas numbers.
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In this paper, we consider the relationships between the sums of the generalized order-k Fibonacci and Lucas numbers and 1-factors of bipartite graphs. 1. Introduction We consider the generalized order k Fibonacci and Lucas numbers. In [1], Er de ned k sequences of the generalized order k Fibonacci numbers as shown: g n = k X j=1 g n j ; for n > 0 and 1 i k; (1.1) with boundary conditions for 1...
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In this paper we give a new generalization of the Lucas numbers in matrix representation. Also we present a relation between the generalized order-k Lucas sequences and Fibonacci sequences. 2003 Elsevier Inc. All rights reserved.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2008
ISSN: 0035-7596
DOI: 10.1216/rmj-2008-38-6-1991