Journal of Integer Sequences, Vol. 14 (2011), Article 11.5.6

A Formula for the Generating Functions of Powers of Horadam's Sequence with Two Additional Parameters


Emrah Kılıç
TOBB University of Economics and Technology
Mathematics Department
06560 Ankara
Turkey

Yücel Türker Ulutaş and Neşe Ömür
Kocaeli University
Mathematics Department
41380 İzmit Kocaeli
Turkey

Abstract:

In this note, we give a generalization of a formula for the generating function of powers of Horadam's sequence by adding two parameters. Thus we obtain a generalization of a formula of Mansour.

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(Concerned with sequences A000032 A000045 A000129.)

Received December 6 2010; revised version received January 27 2011; May 3 2011. Published in Journal of Integer Sequences, May 3 2011.

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