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Some combinatorial identities via Fibonacci numbers
Authors:Gwang-Yeon Lee  Jin-Soo Kim  Seong-Hoon Cho
Institution:

a Department of Mathematics, Hanseo University, Seosan, Chung-nam 356-706, South Korea

b Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea

Abstract:The Pascal matrix and the Stirling matrices of the first kind and the second kind obtained from the Fibonacci matrix are studied, respectively. Also, we obtain combinatorial identities from the matrix representation of the Pascal matrix, the Stirling matrices of the first kind and the second kind and the Fibonacci matrix.
Keywords:Pascal matrix  Stirling matrix of the first kind  Stirling matrix of the second kind  Fibonacci matrix
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