Power sums of fibonacci and Lucas numbers

  • Wenchang Chu
  • Nadia N Li

Abstract

Polynomial representation formulae for power sums of the extended Fibonacci-Lucas numbers are established, which include, as special cases, four for-mulae for odd power sums of Melham type on Fibonacci and Lucas numbers, obtained recently by Ozeki and Prodinger (2009).

Quaestiones Mathematicae 34(2011), 75-83

Author Biographies

Wenchang Chu
School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P.R. China
Nadia N Li
School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P.R. China
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606