Results 161 to 170 of about 6,644 (181)

Perrin Numbers Which Are the Sum, Difference, or Product of Two Fibonacci Numbers

The Fibonacci Quarterly
Abdelaziz El Habibi, Zakariae Bouazzaoui, Zouhair Boughadi   +2 more
exaly   +2 more sources

Perrin numbers expressible as sums of two base b repdigits

2021
Let \( (P_n)_{n\ge 0} \) be the sequence of \textit{Perrin numbers} defined by the ternary recurrence relation \( P_{n+3}=P_{n+1}+P_n \), with the initial conditions \( P_0=3 \), \( P_1=0 \), and \( P_2=2 \). For an integer \( b\ge 2 \), a natural number \( N \) od the form \( N=a\left(\dfrac{b^{\ell}-1}{b-1}\right) \) for some \( \ell\ge 2 \) and \( a\
Bhoi, Khisan, Ray, Prasanta Kumar
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Padovan or Perrin numbers that are concatenations of two distinct base b repdigits

Mathematica Slovaca, 2023
Abstract Let {P n } n⩾0 be the Padovan sequence with initial conditions P 0=0, P 1=1, and P 2=1 and the recurrence relation P n+3=P
Adédji, Kouèssi N., Dossou-Yovo, Virgile, Rihane, Salah E., Togbé, Alain   +3 more
openaire   +1 more source

Determination of Avogadro's number by Perrin's law

Journal of Chemical Education, 1965
The experimental procedure for determining Avogadro's number by the Perrin method includes preparing a monodisperse colloid, ascertaining the mass of the particles, and making an accurate count of the number of particles at two points in the equilibrated colloid.
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On Tribonacci numbers written as a product of two Perrin numbers

Asian-European Journal of Mathematics
In this paper, we give all solutions of the Diophantine equation [Formula: see text], where [Formula: see text] x [Formula: see text] x [Formula: see text], [Formula: see text] is the Perrin sequence, and [Formula: see text] is the Tribonacci sequence. We show that this Diophantine equation has only [Formula: see text] integer solution triples.
Zeynep Demirkol Ozkaya, Ilker Inam, Meltem Senadim   +2 more
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Properties of Cordonnier, Perrin and Van der Laan numbers

International Journal of Mathematical Education in Science and Technology, 2006
This paper aims to explore some properties of certain third-order linear sequences which have some properties analogous to the better known second-order sequences of Fibonacci and Lucas. Historical background issues are outlined. These, together with the number and combinatorial theoretical results, provide plenty of pedagogical opportunities for ...
A. G. Shannon, P. G. Anderson, A. F. Horadam   +2 more
openaire   +1 more source

Gaussian Padovan and Gaussian Perrin numbers and properties of them

Asian-European Journal of Mathematics, 2019
In this paper, the Gaussian Padovan and Gaussian Perrin numbers are defined. Then Binet formula and generating functions of these numbers are given. Also, some summation identities for Gaussian Padovan and Gaussian Perrin numbers are obtained by using the recurrence relation satisfied by them.
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Padovan and Perrin generalized quaternions

Mathematical Methods in the Applied Sciences, 2022
Zehra Isbilir, Nurten Gurses
exaly  

Padovan or Perrin numbers that are concatenations of two distinct base b repdigits

Mathematica Slovaca, 2023
Alain Togbé
exaly  

Common Values of Padovan and Perrin Sequences

Mediterranean Journal of Mathematics, 2023
Eric Bravo
exaly