In this paper the generalized Fibonacci numbers of order k are combinatorially interpreted, in the context of the theory of linear species of Joyal, as the linear species of k-filtering partitions.
Some combinatorial identities via Fibonacci numbers
β Scribed by Gwang-Yeon Lee; Jin-Soo Kim; Seong-Hoon Cho
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 128 KB
- Volume
- 130
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
β¦ Synopsis
The Pascal matrix and the Stirling matrices of the ΓΏrst 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 ΓΏrst kind and the second kind and the Fibonacci matrix.
π SIMILAR VOLUMES
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