More identities for Fibonacci and Lucas octonions
نویسندگان
چکیده
منابع مشابه
Some Identities for Generalized Fibonacci and Lucas Sequences
In this study, we define a generalization of Lucas sequence {pn}. Then we obtain Binet formula of sequence {pn} . Also, we investigate relationships between generalized Fibonacci and Lucas sequences.
متن کاملSome Trigonometric Identities Involving Fibonacci and Lucas Numbers
In this paper, using the number of spanning trees in some classes of graphs, we prove the identities: Fn = 2n−1 n √
متن کاملIdentities Involving Lucas or Fibonacci and Lucas Numbers as Binomial Sums
As in [1, 2], for rapid numerical calculations of identities pertaining to Lucas or both Fibonacci and Lucas numbers we present each identity as a binomial sum. 1. Preliminaries The two most well-known linear homogeneous recurrence relations of order two with constant coefficients are those that define Fibonacci and Lucas numbers (or Fibonacci and Lucas sequences). They are defined recursively ...
متن کاملNew Identities for the Even and Odd Fibonacci and Lucas Numbers
In this study, we obtain a new identities for Fibonacci numbers F2n, F−2n, F2n+1, F−2n+1 and Lucas numbers L2n, L−2n, L2n+1, L−2n+1 when n ≥ 1.
متن کاملIdentities for Fibonacci and Lucas Polynomials derived from a book of Gould
This note is dedicated to Professor Gould. The aim is to show how the identities in his book ”Combinatorial Identities” can be used to obtain identities for Fibonacci and Lucas polynomials. In turn these identities allow to derive a wealth of numerical identities for Fibonacci and Lucas numbers.
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ژورنال
عنوان ژورنال: Mathematical Sciences and Applications E-Notes
سال: 2020
ISSN: 2147-6268
DOI: 10.36753/mathenot.591307