Linear Summing Formulas of Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers

Main Article Content

Yüksel Soykan


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.

Pentanacci numbers, Pentanacci-Lucas numbers, gaussian Pentanacci numbers, gaussian Pentanacci-Lucas numbers

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How to Cite
Soykan, Y. (2019). Linear Summing Formulas of Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers. Journal of Advances in Mathematics and Computer Science, 33(3), 1-14.
Original Research Article


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