The Binet formulas for the Pell and Pell-Lucas p-numbers

Kocer E. G., TUĞLU N.

ARS COMBINATORIA, vol.85, pp.3-17, 2007 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 85
  • Publication Date: 2007
  • Journal Name: ARS COMBINATORIA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3-17
  • Keywords: Pell numbers, Pell-Lucas numbers, recurrence relation, Binet's formula
  • Gazi University Affiliated: Yes

Abstract

In this paper, we define the Pell and Pell-Lucas p-numbers and derive the analytical formulas for these numbers. These formulas are similar to Bin et's formula for the classical Pell numbers.