2015•Progress in Applied Science and TechnologyOpen access

Some Properties of (p,q) Fibonacci Numbers

Alongkot Suvarnamani, Mongkol Tatong

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Abstract

In this paper, we dened the generalized Fibonacci sequence which is ( p,q ) - Fibonacci sequence. Then we used the Binet's formular to show some properties of ( p,q ) - Fibonacci numbers. We get some generalized identities of ( p,q )- Fibonacci numbers.

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What this paper is about

In this paper, we dened the generalized Fibonacci sequence which is ( p,q ) - Fibonacci sequence. Then we used the Binet's formular to show some properties of ( p,q ) - Fibonacci numbers. We get some generalized identities of ( p,q )- Fibonacci numbers.

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Available abstract

In this paper, we dened the generalized Fibonacci sequence which is ( p,q ) - Fibonacci sequence. Then we used the Binet's formular to show some properties of ( p,q ) - Fibonacci numbers. We get some generalized identities of ( p,q )- Fibonacci numbers.

Key concepts: Fibonacci number, Pisano period, Fibonacci polynomials, Lucas number, Mathematics, Combinatorics, Sequence (biology), Lucas sequence

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