The Fibonacci p-numbers and Pascal’s triangle

Pascal’s triangle is the most famous of all number arrays full of patterns and surprises. It is well known that the Fibonacci numbers can be read from Pascal’s triangle. In this paper, we consider the Fibonacci p-numbers and derive an explicit formula for these numbers by using some properties of th...
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Autor*in:	Kantaphon Kuhapatanakul [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2016

Schlagwörter:	Fibonacci p-numbers Pascal’s triangle Fibonacci p-matrix Fibonacci p-triangle

Übergeordnetes Werk:	In: Cogent Mathematics - Taylor & Francis Group, 2015, 3(2016), 1
Übergeordnetes Werk:	volume:3 ; year:2016 ; number:1

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1080/23311835.2016.1264176

Katalog-ID:	DOAJ003850730

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callnumber-first	Q - Science
author	Kantaphon Kuhapatanakul
spellingShingle	Kantaphon Kuhapatanakul misc QA1-939 misc Fibonacci p-numbers misc Pascal’s triangle misc Fibonacci p-matrix misc Fibonacci p-triangle misc Mathematics The Fibonacci p-numbers and Pascal’s triangle
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topic	misc QA1-939 misc Fibonacci p-numbers misc Pascal’s triangle misc Fibonacci p-matrix misc Fibonacci p-triangle misc Mathematics
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title	The Fibonacci p-numbers and Pascal’s triangle
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title_auth	The Fibonacci p-numbers and Pascal’s triangle
abstract	Pascal’s triangle is the most famous of all number arrays full of patterns and surprises. It is well known that the Fibonacci numbers can be read from Pascal’s triangle. In this paper, we consider the Fibonacci p-numbers and derive an explicit formula for these numbers by using some properties of the Pascal’s triangle. We also introduce the companion matrix of the Fibonacci p-numbers and give some identities of the Fibonacci p-numbers by using some properties of our matrix.
abstractGer	Pascal’s triangle is the most famous of all number arrays full of patterns and surprises. It is well known that the Fibonacci numbers can be read from Pascal’s triangle. In this paper, we consider the Fibonacci p-numbers and derive an explicit formula for these numbers by using some properties of the Pascal’s triangle. We also introduce the companion matrix of the Fibonacci p-numbers and give some identities of the Fibonacci p-numbers by using some properties of our matrix.
abstract_unstemmed	Pascal’s triangle is the most famous of all number arrays full of patterns and surprises. It is well known that the Fibonacci numbers can be read from Pascal’s triangle. In this paper, we consider the Fibonacci p-numbers and derive an explicit formula for these numbers by using some properties of the Pascal’s triangle. We also introduce the companion matrix of the Fibonacci p-numbers and give some identities of the Fibonacci p-numbers by using some properties of our matrix.
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