Journal of Integer Sequences, Vol. 12 (2009), Article 09.3.7

Several Generating Functions for Second-Order Recurrence Sequences

István Mező
Institute of Mathematics
University of Debrecen


Carlitz and Riordan began a study on closed form of generating functions for powers of second-order recurrence sequences. This investigation was completed by Stănică. In this paper we consider exponential and other types of generating functions for such sequences. Moreover, an extensive table of generating functions is provided.

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(Concerned with sequences A000032 A000045 A000129 A001045 A001582 A002450 and A014551.)

Received July 17 2007; revised version received April 24 2009. Published in Journal of Integer Sequences, April 29 2009.

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