Some Identities for the (a, b; k)-Nacci Sequences
Year: 2024
Type: article
Abstract: In this paper, we introduce a generalization of the k-generalized Fibonacci sequence, called the (a, b; k)-nacci sequence, where a and b are real numbers and k ≥ 2 is an integer. The (a, b; k)-nacci sequence is defined recursively as follows: We also provide some identities involving the sum of the (a, b; k)-nacci terms and investigate the sums of the squares of the (a, b; k)-nacci numbers.
Source: Contemporary Mathematics
Authors: Monrudee Sirivoravit, Utsanee Leerawat
Institution: Kasetsart University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405009332