Results 51 to 60 of about 105 (79)

Relations for generalized Fibonacci and Tribonacci sequences [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2019
openaire   +1 more source

A simple proof for generalized Fibonacci numbers with dying rabbits

open access: yes
We consider the generalized Fibonacci counting problem with rabbits that become fertile at age $f$ and die at age $d$, with ...
De Prisco, Roberto
core  

Effective Computation of Generalized Abelian Complexity for Pisot Type Substitutive Sequences

open access: yes
Generalized abelian equivalence compares words by their factors up to a certain bounded length. The associated complexity function counts the equivalence classes for factors of a given size of an infinite sequence. How practical is this notion?
Shallit, Jeffrey   +5 more
core  

Bifocal diffractive lenses based on the aperiodic Kolakoski sequence. [PDF]

open access: yesSci Rep
Garmendía-Martínez A   +4 more
europepmc   +1 more source

Tribonacci-like sequences and generalized Pascal's pyramids

open access: yesInternational Journal of Mathematical Education in Science and Technology, 2014
A well-known result of Feinberg and Shannon states that the tribonacci sequence can be detected by the so-called Pascal's pyramid. Here we will show that any tribonacci-like sequence can be obtained by the diagonals of the Feinberg's triangle associated to a suitable generalized Pascal's pyramid.
Giuseppina Anatriello   +1 more
exaly   +6 more sources

Using Matrix Techniques to Establish Properties of a Generalized Tribonacci Sequence

open access: yes, 1991
We consider the generalized Tribonacci Sequence, {V n }, defined as follows: $$ {V_n} = r{V_{n - 1}} + s{V_{n - 2}} + t{V_{n - 3}} (n \geqslant 3), $$ (1) where Vo, V1, V2 are arbitrary integers and r, s, t, are non-zero integers.
Marcellus E. Waddill
exaly   +3 more sources

A class of generalized Tribonacci sequences applied to counting problems

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wojciech Florek
exaly   +3 more sources

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