Results 81 to 90 of about 653 (169)

On a Generalization of the Padovan Numbers

Journal of Advances in Mathematics and Computer Science
This paper studies an extension of the classical Padovan sequence and that contains this as a particular case. Some very interesting formulas are found for the sum of these new sequences, for the sum of their squares as well as their self-convolution.
openaire   +1 more source

On the x-coordinates of Pell equations that are sums of two Padovan numbers. [PDF]

Bol Soc Mat Mex, 2021
Ddamulira M.
europepmc   +1 more source

On the quaternion Padovan numbers

Summary: In this paper, we define the quaternion Padovan sequence. We obtain some identities for this quaternion sequence. Also, we derive a plastic-like ratio.
Dişkaya, Orhan, Menken, Hamza
openaire   +4 more sources

A Review on the Solutions of Difference Equations via Integer Sequences such as Fibonacci Numbers and Tribonacci Numbers

Communications in Advanced Mathematical Sciences, 2019
In this review article, we study the recent investigations on the forms of solutions of systems difference equations and difference equations in terms of well-known integer sequences such as Fibonacci numbers, Padovan numbers.
İnci Okumuş, Yüksel Soykan
doaj  

On two-parameters generalization of Fibonacci numbers [PDF]

, 2017
In this paper we introduce  a new two-parameters generalization ofFibonacci numbers - distance s-Fibonacci numbers  F_s(k,n). We generalize known distance Fibonacci numbers by adding an additional integer parameter s.
Dorota Bród, Bród, Dorota
core   +1 more source

The Pell-Padovan p-Sequences and Its Applications [PDF]

, 2015
In this paper, we define the Pell-Padovan p-numbers then we obtain the generating matrix, permanental representation, the Binet formula, the generating function, the exponential representation, the combinatorial representations and the sums of the Pell ...
Akuzum, Yesim, KARADUMAN, Erdal, DEVECİ, ÖMÜR   +2 more
core  

Padovan numbers that are concatenations of two repdigits [PDF]

, 2020
Let $ (P_{n})_{n\ge 0} $ be the sequence of Padovan numbers defined by $ P_0=0 $, $ P_1 =1=P_2$, and $ P_{n+3}= P_{n+1} +P_n$ for all $ n\ge 0 $. In this paper, we find all Padovan numbers that are concatenations of two repdigits.
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On the Padovan sequence [PDF]

, 2013
U članku se najprije geometrijski definira prvih nekoliko članova Padovanova niza. Na temelju geometrijske motivacije niz se definira uobičajenom rekurzivnom relacijom te se izvodi zatvorena formula za opći član niza pomoću tzv.
Kovačić, Bojan, Renata Opačić, Marohnić, Luka, Bojan Kovačić, Luka Marohnić, Opačić, Renata   +5 more
core   +1 more source

Distance Fibonacci numbers, their interpretations and matrix generators [PDF]

, 2013
In this paper we define a distance Fibonacci numbers, also for negative integers, which generalize the classical Fibonacci numbers and Padovan numbers, simultaneously. We give different interpretations of these numbers with respect to special partitions
Wołowiec-Musiał, Małgorzata, Bednarz, Urszula   +1 more
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New Identities for Padovan Numbers

, 2019
In \cite{Choi-Jo}, the $am+b$ ($0\leq ...
openaire   +2 more sources