Linear Summing Formulas of Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers
Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 22 Jul 2019
10.9734/jamcs/2019/v33i330176Abstract
In this paper, we present linear summation formulas for generalized Pentanacci numbers and generalized Gaussian Pentanacci numbers. Also, as special cases, we give linear summation formulas of Pentanacci and Pentanacci-Lucas numbers; Gaussian Pentanacci and Gaussian Pentanacci-Lucas numbers. We present the proofs to indicate how these formulas, in general, were discovered. Of course, all the listed formulas may be proved by induction, but that method of proof gives no clue about their discovery.
Cited by 3
B. Sivakumar, V. James · Communications in Mathematics and Applications · 2022
Arzu Özkoç Öztürk, Faruk Kaplan · Düzce Üniversitesi Bilim ve Teknoloji Dergisi · 2025
Yüksel SOYKAN · Universal Journal of Mathematics and Applications · 2020
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