| Title:
|
Some interpretations of the $(k,p)$-Fibonacci numbers (English) |
| Author:
|
Paja, Natalia |
| Author:
|
Włoch, Iwona |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
62 |
| Issue:
|
3 |
| Year:
|
2021 |
| Pages:
|
297-307 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we consider two parameters generalization of the Fibonacci numbers and Pell numbers, named as the $(k,p)$-Fibonacci numbers. We give some new interpretations of these numbers. Moreover using these interpretations we prove some identities for the $(k,p)$-Fibonacci numbers. (English) |
| Keyword:
|
Fibonacci number |
| Keyword:
|
Pell number |
| Keyword:
|
tiling |
| MSC:
|
05A19 |
| MSC:
|
05C15 |
| MSC:
|
11B39 |
| MSC:
|
11B83 |
| idMR:
|
MR4331284 |
| DOI:
|
10.14712/1213-7243.2021.026 |
| . |
| Date available:
|
2021-10-18T08:31:09Z |
| Last updated:
|
2023-10-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149146 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
