A new approach to determine constant coefficients in higher order linear recurrence relations and repeated steps of their residues with mth integer modulo of some Fibonacci type numbers.

Autor: Thiruchinapalli, Srinivas, Katterapalle, Sridevi
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Zdroj: AIP Conference Proceedings; 2024, Vol. 2986 Issue 1, p1-9, 9p
Abstrakt: This paper focused on a study to generate the sequence of Fibonacci Type Numbers using third and higher Order Linear Recurrence Relations. Also, evaluated the Constant Coefficients of their higher Order Linear Recurrence Relations. In particularly evaluated the Non degenerated values of c1,c2,c3,....cn of some Fibonacci Type numbers of rth order of linear recurrence relation Fn = c1Fn-1 + +c2Fn-2 + c3Fn-3 + c4Fn-4+ ........crFn-r, for n≥r,r ≥ 2. Also, it was focused to study repeated steps of their residues with some integer modulo 'm'. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index