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

    Fingerprint

    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.
    @article{d13882344b4c4bafa21fa3e74b4f7941,
    title = "A generating function for the diagonal T2n,n in triangles",
    abstract = "We present techniques for obtaining a generating function for the diagonal T2n,n 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 T2n,n, and we also give some examples.",
    keywords = "Central coefficient, Composita, Diagonal, Generating function, Triangle",
    author = "Kruchinin, {Dmitry V.} and Kruchinin, {Vladimir V.}",
    year = "2015",
    language = "English",
    volume = "18",
    journal = "Journal of Integer Sequences",
    issn = "1530-7638",
    publisher = "University of Waterloo",
    number = "4",

    }

    TY - JOUR

    T1 - A generating function for the diagonal T2n,n in triangles

    AU - Kruchinin, Dmitry V.

    AU - Kruchinin, Vladimir V.

    PY - 2015

    Y1 - 2015

    N2 - We present techniques for obtaining a generating function for the diagonal T2n,n 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 T2n,n, and we also give some examples.

    AB - We present techniques for obtaining a generating function for the diagonal T2n,n 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 T2n,n, and we also give some examples.

    KW - Central coefficient

    KW - Composita

    KW - Diagonal

    KW - Generating function

    KW - Triangle

    UR - http://www.scopus.com/inward/record.url?scp=84934882983&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84934882983&partnerID=8YFLogxK

    M3 - Article

    VL - 18

    JO - Journal of Integer Sequences

    JF - Journal of Integer Sequences

    SN - 1530-7638

    IS - 4

    ER -

    Access to Document