Impulse Response Sequences and Construction of Number Sequence Identities
Department of Mathematics
Illinois Wesleyan University
Bloomington, IL 61702-2900
In this paper, we investigate impulse response sequences over the
presenting their generating functions and expressions. We also
establish some of the corresponding identities. In addition, we give the
relationship between an impulse response sequence and all linear
recurring sequences satisfying the same linear recurrence relation,
which can be used to transfer the identities among different sequences.
Finally, we discuss some applications of impulse response sequences to
the structure of Stirling numbers of the second kind, the Wythoff
array, and the Boustrophedon transform.
Full version: pdf,
(Concerned with sequences
Received March 27 2013;
revised version received March 29 2013; June 21 2013; August 27 2013.
Published in Journal of Integer Sequences, October 12 2013.
Journal of Integer Sequences home page