On Some Multinomial Sums Related to the Fibonacci Type Numbers
| Autor: | Andrzej Włoch, Iwona Włoch |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Fibonacci number
General Mathematics 010102 general mathematics Companion matrix 02 engineering and technology Pascal (programming language) 01 natural sciences Combinatorics 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Multinomial distribution 0101 mathematics computer Mathematics Graph interpretation computer.programming_language |
| Zdroj: | Tatra Mountains Mathematical Publications. 77:99-108 |
| ISSN: | 1210-3195 |
| DOI: | 10.2478/tmmp-2020-0035 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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