On integer-sequence-based constructions of generalized Pascal triangles, J. Integer Sequences

Paul Barry

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We introduce an integer sequence based construction of invertible centrally symmetric number triangles, which generalize Pascal's triangle. We characterize the row sums and central coe±cients of these triangles, and examine other properties. Links to the Narayana numbers are explored. Use is made of the Riordan group to elucidate properties of a special one-parameter subfamily. An alternative exponential approach to constructing generalized Pascal triangles is briefy explored.
    Original languageEnglish
    JournalJournal of Integer Sequences
    Volume9
    Publication statusPublished - 2006

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