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On matrices related with Fibonacci and Lucas numbers
Authors:Xudan Fu  Xia Zhou
Affiliation:

aHangzhou Foreign Language School, HangZhou 310023, PR China

bDepartment of Mathematics, Zhejiang University, HangZhou 310027, PR China

Abstract:In this paper, we obtain some new results on matrices related with Fibonacci numbers and Lucas numbers. Also, we derive the relation between Pell numbers and its companion sequence by using our representations.
Keywords:Order-k sequence   Generalized order-k Fibonacci (Lucas) numbers   Matrix   Pell numbers
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