Results 121 to 130 of about 2,413 (223)

Bi-periodic incomplete Fibonacci sequences [PDF]

In this paper, we define the bi-periodic incomplete Fibonacci sequences, we study some recurrence relations linked to them, some properties of these numbers and their generating functions.
Ramírez, José L.
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Psychoacoustic Properties of Fibonacci Sequences

Acta Polytechnica, 2008
1202, Fibonacci set up one of the most interesting sequences in number theory. This sequence can be represented by so-called Fibonacci Numbers, and by a binary sequence of zeros and ones.
J. Sokoll, S. Fingerhuth
doaj  

Mathieu-Fibonacci series

, 2022
Using reciprocal sums of powers of Fibonacci and Lucas numbers, we present series representations for generalized Mathieu series via Lambert-type series.
Gerhold, Stefan; orcid:, Tomovski, Živorad   +1 more
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Binomial Sums Involving Second-Order Linearly Recurrent Sequences

Consider the sequences ( U-n : n is an element of N-0 ) and ( V-n : n is an element of N) satisfying the second order linear recurrences U-n = pU(n-1) + Un-2 and V-n = pV (n-1) + Vn-2 with the initial conditions U-0 = 0, U-1 = 1, V-0 = 2, and V-1 = p. We
Kılıç, Emrah, Campbell, John m.
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More generalized k(ε)-Fibonacci sequence, series, and its applications

AIP Advances
In this study, we present a generalized higher-order delta operator with the co-efficient of falling factorial and its inverse, both of which allow us to get more generalized k(ε)-Fibonacci sequences along with their sums, a few theorems, and some ...
Rajiniganth P, Aparna T, Ilyas Khan, Suresh K   +3 more
doaj   +1 more source

Conjugates of characteristic Sturmian words generated by morphisms

, 2004
This article is concerned with characteristic Sturmian words of slope α and 1-α (denoted by cα and c1-α resp.), where α∈(0,1) is an irrational number such that α=[0;1+d1,d2,..., dn] with dn≥d1≥1.
Glen, Amy, Amy Glen, Glen, Amy Louise, Glen, A.   +3 more
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Random Fibonacci Words via Clone Schur Functions

Forum of Mathematics, Sigma
We investigate positivity and probabilistic properties arising from the Young–Fibonacci lattice $\mathbb {YF}$ , a 1-differential poset on words composed of 1’s and 2’s (Fibonacci words) and graded by the sum of the digits.
Leonid Petrov, Jeanne Scott
doaj   +1 more source

Generalized Fibonacci Sequences Generated from a $k$--Fibonacci Sequence

Journal of Mathematics Research, 2012
In this paper we will prove that all $k$--Fibonacci sequence contains generalized Fibonacci sequences and we will indicate the form of obtain them.
openaire   +1 more source

Some new properties of k Fibonacci sequences

, 2015
Some new properties of k Fibonacci sequences and k Lucas sequences are represented.
Ashok Godase (820536)
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Fibonacci and Lucas matrix sequences and their properties

, 2009
Bu çalışmada, Fibonacci ve Lucas matris dizileri tanımlanmıştır ve Fibonacci matris dizisinin genelleştirilmiş Fibonacci sayı dizisi ile; Lucas matris dizisinin de genelleştirilmiş Lucas sayı dizisi ile olan ilişkileri elde edilmiştir.Fibonacci ve Lucas ...
Civciv, Hacı
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