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On Some Multinomial Sums Related to the Fibonacci Type Numbers

Iwona Włoch

Iwona Włoch

Department of Discrete Mathematics, Rzeszow University of TechnologyRzeszow, Poland
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Włoch, Iwona
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Andrzej Włoch

Andrzej Włoch

Department of Mathematical Modeling, Rzeszow University of TechnologyRzeszow, Poland
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Włoch, Andrzej
  
Dec 31, 2020
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Published Online: Dec 31, 2020
Page range: 99 - 108
Received: Mar 31, 2020
DOI: https://doi.org/10.2478/tmmp-2020-0035
Keywords
© 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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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