Some interpretations of the -Fibonacci numbers

Natalia Paja; Iwona Włoch

Commentationes Mathematicae Universitatis Carolinae (2021)

  • Volume: 62, Issue: 3, page 297-307
  • ISSN: 0010-2628

Abstract

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In this paper we consider two parameters generalization of the Fibonacci numbers and Pell numbers, named as the -Fibonacci numbers. We give some new interpretations of these numbers. Moreover using these interpretations we prove some identities for the -Fibonacci numbers.

How to cite

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Paja, Natalia, and Włoch, Iwona. "Some interpretations of the $(k,p)$-Fibonacci numbers." Commentationes Mathematicae Universitatis Carolinae 62.3 (2021): 297-307. <http://eudml.org/doc/297597>.

@article{Paja2021,
abstract = {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.},
author = {Paja, Natalia, Włoch, Iwona},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Fibonacci number; Pell number; tiling},
language = {eng},
number = {3},
pages = {297-307},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some interpretations of the $(k,p)$-Fibonacci numbers},
url = {http://eudml.org/doc/297597},
volume = {62},
year = {2021},
}

TY - JOUR
AU - Paja, Natalia
AU - Włoch, Iwona
TI - Some interpretations of the $(k,p)$-Fibonacci numbers
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2021
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 62
IS - 3
SP - 297
EP - 307
AB - 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.
LA - eng
KW - Fibonacci number; Pell number; tiling
UR - http://eudml.org/doc/297597
ER -

References

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