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Titlebook: Applications of Fibonacci Numbers; Volume 6 Proceedings Gerald E. Bergum,Andreas N. Philippou,Alwyn F. Hor Conference proceedings 1996 Kluw

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,Multiple Color Version of the Star of David Theorems on Pascal’s Triangle and Related Arrays of NumThis paper deals with research results which are a continuation of the reports given in [2], [3], [8], [10] and [11].
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Vector Linear Recurrence Sequences in Commutative Rings,Let . be a commutative ring with identity. Let . be a vector sequence in ., such that ..∑.=1....,.... The main result of this paper is to show that . can be computed as a linear recurrence sequence (in .) with scalar coefficients.
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On the Sum of Consecutive Squares,We seek solutions of the Diophantine equation.for integers ., k and ., with n ≥ − 1 and with k and m positive and, in §3, we will also briefly consider the related equation where .. is replaced by ... When k = 1, (1) is trivial. For k = 2 we replace . by . − 1 and express (1) in the form
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Minmax Sequences for Pell Numbers,Roots of the quadratic equation.are.so that..
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https://doi.org/10.1007/978-94-009-0223-7Group theory; LCM; Number theory; Prime; cryptography; finite field; numerical analysis
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