A COMPLETE FORMULA FOR THE ORDER OF APPEARANCE OF THE POWERS OF LUCAS NUMBERS

- Journal title : Communications of the Korean Mathematical Society
- Volume 31, Issue 3, 2016, pp.447-450
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.c150161

Title & Authors

A COMPLETE FORMULA FOR THE ORDER OF APPEARANCE OF THE POWERS OF LUCAS NUMBERS

Pongsriiam, Prapanpong;

Pongsriiam, Prapanpong;

Abstract

Let and be the nth Fibonacci number and Lucas number, respectively. The order of appearance of m in the Fibonacci sequence, denoted by z(m), is the smallest positive integer k such that m divides . Marques obtained the formula of in some cases. In this article, we obtain the formula of for all .

Keywords

Fibonacci number;Lucas number;the order of appearance;the rank of appearance;

Language

English

References

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