On Some Multinomial Sums Related to the Fibonacci Type Numbers
und | 31. Dez. 2020
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Online veröffentlicht: 31. Dez. 2020
Seitenbereich: 99 - 108
Eingereicht: 31. März 2020
DOI: https://doi.org/10.2478/tmmp-2020-0035
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© 2020 Iwona Włoch et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.