accedaCRIShttps://accedacris.ulpgc.es/jspuiThe accedaCRIS digital repository system captures, stores, indexes, preserves, and distributes digital research material.Mon, 15 Jul 2024 01:12:16 GMT2024-07-15T01:12:16Z5031On the powers of the k-Fibonacci numbershttp://hdl.handle.net/10553/42400Title: On the powers of the k-Fibonacci numbers
Authors: Falcon, Sergio
Abstract: In this paper we will find a combinatorial formula that relates the power of a k-Fibonacci number, Fp k, n, to the number Fk,an. From this formula and if p is odd, we will find a new formula that allows to express the k-Fibonacci number Fk,(nr+i)n as a combination of odd powers of Fk,n. If P is even, the formula is similar but for the even k-Lucas numbers Lk,2m.
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/10553/424002016-01-01T00:00:00ZA generalization of a binomial sum for the Stirling numbers of the second kindhttp://hdl.handle.net/10553/44513Title: A generalization of a binomial sum for the Stirling numbers of the second kind
Authors: González, Luis; Santana, Angelo
Abstract: A combinatorial sum for the Stirling numbers of the second kind is generalized. This generalization provides us with a new explicit formula for the binomial sum ∑k=0 n=krak(k n where a, b ∈ ℝ- {0}, n, r ∈ ℕ. As relevant special cases, simple explicit expressions for both the binomial sum ∑k=0 n kr(k n) and the raw moment of order r of the binomial distribution B (n, p) are given. All these sums are expressed in terms of generalized r-permutations.
Thu, 01 Jan 2015 00:00:00 GMThttp://hdl.handle.net/10553/445132015-01-01T00:00:00ZShort proofs of combinatorial identities for n!http://hdl.handle.net/10553/49154Title: Short proofs of combinatorial identities for n!
Authors: Plaza, Ángel; Falcón, Sergio
Sat, 01 Jan 2011 00:00:00 GMThttp://hdl.handle.net/10553/491542011-01-01T00:00:00Z