Binomial Transform of the Generalized k-Fibonacci Numbers
نویسندگان
چکیده
منابع مشابه
Generalized (k, r)–Fibonacci Numbers
In this paper, and from the definition of a distance between numbers by a recurrence relation, new kinds of k–Fibonacci numbers are obtained. But these sequences differ among themselves not only by the value of the natural number k but also according to the value of a new parameter r involved in the definition of this distance. Finally, various properties of these numbers are studied.
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A permutation π ∈ Sn is said to avoid a permutation σ ∈ Sk whenever π contains no subsequence with all of the same pairwise comparisons as σ. In 1985 Simion and Schmidt showed that the number of permutations in Sn which avoid 123, 132, and 213 is the Fibonacci number Fn+1. In this paper we generalize this result in two ways. We first show that the number of permutations which avoid 132, 213, an...
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ژورنال
عنوان ژورنال: Communications in Mathematics and Applications
سال: 2019
ISSN: 0976-5905,0975-8607
DOI: 10.26713/cma.v10i3.1221