Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3416
Abstract
In this paper, we investigate several identities of $k$-generalized Lucas numbers with $k$-generalized Fibonacci numbers. We also establish a link between generalized $s$-Lucas triangle and bi$^{s}$nomial coefficients given by the coefficients of the development of a power of $(1+x+x^{2}+\cdots+x^{s}),$ with $s \in \mathbb{N}.$
Keywords
$k-$generalized Lucas sequence, arithmetic triangle, recurrence relation, bi$^s$nomial coefficient
First Page
1129
Last Page
1143
Recommended Citation
AÇIKEL, ABDULLAH; SAID, AMROUCHE; BELBACHIR, HACENE; and IRMAK, NURETTİN
(2023)
"On $k$-generalized Lucas sequence with its triangle,"
Turkish Journal of Mathematics: Vol. 47:
No.
4, Article 6.
https://doi.org/10.55730/1300-0098.3416
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss4/6
