Some interpretations of the (k, p)-Fibonacci numbers

被引：4

作者：

Paja, Natalia ^{[1
]}

Wloch, Iwona ^{[1
]}

机构：

[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 12, PL-35359 Rzeszow, Poland

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2021年 / 62卷 / 03期

关键词：

Fibonacci number; Pell number; tiling; FIBONACCI NUMBERS;

D O I：

10.14712/1213-7243.2021.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：297 / 307

页数：11

共 17 条

[1] On (k,p)-Fibonacci Numbers
Bednarz, Natalia
[J]. MATHEMATICS, 2021, 9 (07)
[2] Bednarz N, 2018, UTILITAS MATHEMATICA, V106, P39
[3] Bednarz U., 2015, J APPL MATH
[4] FIBONACCI AND TELEPHONE NUMBERS IN EXTREMAL TREES
Bednarz, Urszula
Wloch, Wona
[J]. DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2018, 38 (01) : 121 - 133
[5] Bednarz U, 2017, OPUSC MATH, V37, P479, DOI 10.7494/OpMath.2017.37.4.479
[6] Berge C., 1971, MATH SCI ENG, V72
[7] Catarino P., 2013, INT J MATH ANAL, V7, P1877, DOI DOI 10.12988/IJMA.2013.35131
[8] Diestel Reinhard, 2010, GRAPH THEORY, V4th
[9] On the Fibonacci k-numbers
Falcon, Sergio
Plaza, Angel
[J]. CHAOS SOLITONS & FRACTALS, 2007, 32 (05) : 1615 - 1624
[10] The generalized Pell (p, i)-numbers and their Binet formulas, combinatorial representations, sums
Kilic, Emrah
[J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (04) : 2047 - 2063

← 1 2 →