Fibonacci and Lucas Identities with the Coefficients in Arithmetic Progression
نویسندگان
چکیده
منابع مشابه
Some 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 √
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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.
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mirroring a well-known feature of Fibonacci numbers (see Theorem 2.5). It was pointed out in [1] that (0.2) could itself be used to disprove the corresponding assertion for the 1cm; precisely, if lcm(a, b) = £, then lcm(Ma, Mb) Mt only in the trivial cases a\b or b\a. The argument rested on a uniqueness theorem for the expression of rational numbers as a ratio of two members of the {Mn} sequenc...
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 ...
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ژورنال
عنوان ژورنال: IOSR Journal of Mathematics
سال: 2017
ISSN: 2319-765X,2278-5728
DOI: 10.9790/5728-1301045763