SUM OF THE SQUARES OF TERMS OF GAUSSIAN GENERALIZED TRIBONACCI SEQUENCES: CLOSED FORM FORMULAS OF Vol. 10(1) Jan 2022, No. 6, pp. 71-83 Y. SOYKAN, E. TASDEMIR AND M. GOCEN
Year: 2022
Type: article
Abstract: In this paper, closed forms of the sum formulas P n k=1 GW 2 k , P n k=1 GW k+2 GW k and P n k=1 GW k+1 GW k for the squares of Gaussian generalized Tribonacci numbers are presented.As special cases, we give sum formulas of Gaussian Tribonacci, Gaussian Tribonacci-Lucas, Gaussian Padovan, Gaussian Perrin, Gaussian Narayana and some other third order linear recurrence sequences.All the summing formulas of well known recurrence sequences are linear except the cases Gaussian Pell-Padovan and Gaussian Padovan-Perrin.
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4385845896