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Impulse Response Sequences and Construction of Number Sequence Identities
Journal of Integer Sequences (2013)
  • Tian-Xiao He, Illinois Wesleyan University
In this paper, we investigate impulse response sequences ov er the integers by pre-senting their generating functions and expressions. We also establish some of the corre-sponding identities. In addition, we give the relationship between an impulse response sequence and all linear recurring sequences satisfying the same linear recurrence rela- tion, 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 Boustro phedon transform.
Publication Date
Publisher Statement
Journal of Integer Sequences is published by the University of Waterloo,
Citation Information
Tian-Xiao He. "Impulse Response Sequences and Construction of Number Sequence Identities" Journal of Integer Sequences Vol. 16 Iss. 8 (2013) p. 1 - 23 ISSN: 1530-7638
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