Lucas generalized numbers in Narayana's cows sequence

Auteur	ODJOUMANI, AYEDJO T A JAPHET
Auteur	NIKIEMA, SALIFOU
Date d'ajout	2026-06-02T16:06:57Z
Date de disponibilite	2026-06-02T16:06:57Z
Date de publication	2023
Resume	Let $\{N_n\}_{n≥0}$ be the Narayana’s cows sequence given by $N_0= 0,\;N_1=N_2=1$ and $N_{n+3}=N_{n+2}+N_n$, for integers $n≥0$ and let $\{U_n\}_{n≥0}$ be the generalized Lucas sequence with parameters integers $a≥1,\; b=±1$ given by $U_0=0,\; U_1= 1$ and $U_{n+2}=aU_{n+1}+bU_n$, for integers $n≥0$. In this paper we give effective bounds for the Diophantine equation $N_m=U_n$, in positive unknowns $m$ and $n$. We then solve explicitly that equation with Fibonacci, Pell and Balancing sequences cases.
DOI	10.56947/gjom.v15i1.1381
Autre identifiant	BECDB-14032
URI	https://dspace.uac.bj/handle/123456789/11983
Langue	fr
Fait partie de	Gulf Journal of Mathematics
Sujet	Diophantine equations
Sujet	generalized Lucas sequence
Sujet	Narayana’s cowssequence
Sujet	linear forms in logarithms
Sujet	reduction method
Titre	Lucas generalized numbers in Narayana's cows sequence
Type	Article

Files

Now showing 1 - 1 of 1