Results 31 to 40 of about 1,554,483 (162)

Fibonacci numbers: A population dynamics perspective

Heliyon, 2019
Fibonacci numbers or Fibonacci sequence is among the most popular numbers or sequence in Mathematics. In this paper, we discuss the sequence in a population dynamics perspective. We discuss the early development of the sequence and interpret the sequence
Asep K. Supriatna, Ema Carnia, Meksianis Z. Ndii   +2 more
doaj   +1 more source

p-regularity of the p-adic valuation of the Fibonacci sequence [PDF]

, 2015
peer reviewedWe show that the p-adic valuation of the sequence of Fibonacci numbers is a p-regular sequence for every prime p. For p≠2,5, we determine that the rank of this sequence is α(p)+1, where α(m) is the restricted period length of the Fibonacci ...
Rowland, Eric, Medina, Luis
core   +1 more source

Arithmetic aspects of the Fibonacci sequence [PDF]

, 2022
This research was elaborated with the objective of using arithmetic means to study and prove properties of the Fibonacci sequence, properties that were described along the time by mathematicians of the whole world.
Melgueiro, Francisco Breno de Souza
core   +1 more source

Combined Pseudo-Random Sequence Generator for Cybersecurity

Sensors, 2022
Random and pseudo-random number and bit sequence generators with a uniform distribution law are the most widespread and in demand in the market of pseudo-random generators.
Volodymyr Maksymovych, Mariia Shabatura, Oleh Harasymchuk, Ruslan Shevchuk, Pawel Sawicki, Tomasz Zajac   +5 more
doaj   +1 more source

Fibonacci Modules and Multiple Fibonacci Sequences

Ars Comb., 2008
Double Fibonacci sequences are introduced and they are related to operations with Fibonacci modules. Generalizations and examples are also discussed.
openaire   +3 more sources

Accelerations of Generalized Fibonacci Sequences [PDF]

The Fibonacci Quarterly, 2011
In this paper we study how to accelerate the convergence of the ratios (x_n) of generalized Fibonacci sequences. In particular, we provide recurrent formulas in order to generate subsequences (x_{g_n}) for every linear recurrent sequence (g_n) of order 2.
Marco Abrate, Stefano Barbero, CERRUTI, Umberto, MURRU, NADIR   +3 more
openaire   +4 more sources

On (k,p)-Fibonacci numbers and matrices [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, some relations between the powers of any matrices X satisfying the equation Xᵏ-pXᵏ⁻¹-(p-1)X-I=0 and (k,p)-Fibonacci numbers are established with ...
Sinan Karakaya, Halim Özdemir, Tuğba Demirkol   +2 more
doaj   +1 more source

Arithmetics II – Divisibility. The Fibonacci sequence

, 2021
Autoři článku se zabývají otázkou, jak přispět k rozvoji aritmetických dovedností žáků. V článku jsou představeny některé méně známe vlastnosti Fibonacciho posloupnosti.
Jančařík, Antonín, Havelková, Veronika, Kepka, Tomáš   +2 more
core   +2 more sources

Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence

Ratio Mathematica
One of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan, Devbhadra V Shah, Vandana R Patel   +2 more
doaj   +1 more source

LINEARLIZATION OF GENERALIZED FIBONACCI SEQUENCES [PDF]

Korean Journal of Mathematics, 2014
Summary: In this paper, we give linearization of generalized Fibonacci sequences \(\{g_n\}\) and \(\{q_n\}\), respectively, defined by Gupta et al. and Edson et al. and use this result to give the matrix form of the \(n\)-th power of a companion matrix of \(\{g_n\}\) and \(\{q_n\}\). Then we re-prove the Cassini's identity for \(\{g_n\}\) and \(\{q_n\}\
Jang, Young Ho, Jun, Sang Pyo
openaire   +2 more sources