A generating function for the diagonal T<inf>2n,n</inf> in triangles

Dmitry V. Kruchinin, Vladimir V. Kruchinin

    Research output: Contribution to journal › Article

    Abstract

    We present techniques for obtaining a generating function for the diagonal T<inf>2n,n</inf> of the triangle formed from the coefficients of a generating function G(x) raised to the power k. We obtain some relations between central coefficients and coefficients of the diagonal T<inf>2n,n</inf>, and we also give some examples.

    Original languageEnglish
    JournalJournal of Integer Sequences
    Volume18
    Issue number4
    Publication statusPublished - 2015

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    Generating Function
    Triangle
    Coefficient

    Keywords

    • Central coefficient
    • Composita
    • Diagonal
    • Generating function
    • Triangle

    ASJC Scopus subject areas

    • Discrete Mathematics and Combinatorics

    Cite this

    A generating function for the diagonal T<inf>2n,n</inf> in triangles. / Kruchinin, Dmitry V.; Kruchinin, Vladimir V.

    In: Journal of Integer Sequences, Vol. 18, No. 4, 2015.

    Research output: Contribution to journal › Article

    Kruchinin, DV & Kruchinin, VV 2015, 'A generating function for the diagonal T<inf>2n,n</inf> in triangles', Journal of Integer Sequences, vol. 18, no. 4.
    Kruchinin DV, Kruchinin VV. A generating function for the diagonal T<inf>2n,n</inf> in triangles. Journal of Integer Sequences. 2015;18(4).
    Kruchinin, Dmitry V. ; Kruchinin, Vladimir V. / A generating function for the diagonal T<inf>2n,n</inf> in triangles. In: Journal of Integer Sequences. 2015 ; Vol. 18, No. 4.
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