Several Generating Functions for Second-Order Recurrence Sequences
István Mező
Institute of Mathematics
University of Debrecen
Hungary
Abstract:
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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