1Nigde University, Art and Science Faculty, Mathematics Department, 51240, Nigde
Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 2, pp. 279-286
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Nurettin Irmak; Murat Alp; Nurettin Irmak; Murat Alp. k-generalized Fibonacci numbers close to the form 2^a + 3^b + 5^c. Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 2, pp. 279-286. http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a7/
@article{AMUC_2017_86_2_a7,
author = {Nurettin Irmak and Murat Alp and Nurettin Irmak and Murat Alp},
title = { k-generalized {Fibonacci} numbers close to the form 2^a + 3^b + 5^c},
journal = {Acta mathematica Universitatis Comenianae},
pages = {279--286},
year = {2017},
volume = {86},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a7/}
}
TY - JOUR
AU - Nurettin Irmak
AU - Murat Alp
AU - Nurettin Irmak
AU - Murat Alp
TI - k-generalized Fibonacci numbers close to the form 2^a + 3^b + 5^c
JO - Acta mathematica Universitatis Comenianae
PY - 2017
SP - 279
EP - 286
VL - 86
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a7/
ID - AMUC_2017_86_2_a7
ER -
%0 Journal Article
%A Nurettin Irmak
%A Murat Alp
%A Nurettin Irmak
%A Murat Alp
%T k-generalized Fibonacci numbers close to the form 2^a + 3^b + 5^c
%J Acta mathematica Universitatis Comenianae
%D 2017
%P 279-286
%V 86
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a7/
%F AMUC_2017_86_2_a7
The k-generalized Fibonacci sequence {F_n^{(k)}}_{n\geq 0} is dened as the sum of the k proceeding terms and initial conditions are 0, . . ., 1 (k terms). In this paper, we solve the diophantine equation F_n^{(k)} n = 2^a + 3^b + 5^c + \delta where a, b, c, \delta and are nonnegative integers with max{a; b}\leq c and 0 \leq \delta \leq 5. This work generalizes a recent Marques [9] and rst author, Szalay [6] results.
