Sum of The Squares of Terms of Gaussian Generalized Tribonacci Sequences: Closed Formulas of

OpenAlex İngilizce

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.