On Some Multinomial Sums Related to the Fibonacci Type Numbers

Włoch, Iwona; Włoch, Andrzej

doi:10.2478/tmmp-2020-0035

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On Some Multinomial Sums Related to the Fibonacci Type Numbers

Tatra Mountains Mathematical Publications

Volume 77 (2020): Issue 1 (December 2020)

By: Iwona Włoch and Andrzej Włoch

Open Access

|Dec 2020

Abstract

In this paper we investigate Fibonacci type sequences defined by kth order linear recurrence. Based on their companion matrix and its graph interpretation we determine multinomial and binomial formulas for these sequences. Moreover we present a graphical rule for calculating the words of these sequences from the Pascal’s triangle.

References

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DOI: https://doi.org/10.2478/tmmp-2020-0035 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 99 - 108

Submitted on: Mar 31, 2020

Published on: Dec 31, 2020

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2020 Iwona Włoch, Andrzej Włoch, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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