<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

On Some Multinomial Sums Related to the Fibonacci Type Numbers

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On Some Multinomial Sums Related to the Fibonacci Type Numbers"}

In this paper we investigate Fibonacci type sequences defined by kth order linear recurrence. Based on their companion matrix and its graph interpretation we...

On Some Multinomial Sums Related to the Fibonacci Type Numbers

Online veröffentlicht: 31. Dez. 2020

Seitenbereich: 99 - 108

Eingereicht: 31. März 2020

DOI: https://doi.org/10.2478/tmmp-2020-0035

Schlüsselwörter
Fibonacci numbers, recurrence, multinomial formulas

© 2020 Iwona Włoch et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On Some Multinomial Sums Related to the Fibonacci Type Numbers

Online veröffentlicht: 31. Dez. 2020

Seitenbereich: 99 - 108

Eingereicht: 31. März 2020

DOI: https://doi.org/10.2478/tmmp-2020-0035

SchlüsselwörterFibonacci numbers, recurrence, multinomial formulas

© 2020 Iwona Włoch et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Schlüsselwörter
Fibonacci numbers, recurrence, multinomial formulas