A method for obtaining generating functions for central coefficients of triangles

Dmitry Kruchinin, Vladimir Kruchinin

    Research output: Contribution to journalArticle

    15 Citations (Scopus)

    Abstract

    We present techniques for obtaining a generating function for the central coefficients of a triangle T(n, k), which is given by the expression H(0) 6= 0. We also prove certain theorems for solving direct and inverse problems.

    Original languageEnglish
    JournalJournal of Integer Sequences
    Volume15
    Issue number9
    Publication statusPublished - 20 Nov 2012

    Fingerprint

    Generating Function
    Triangle
    Inverse Problem
    Coefficient
    Theorem

    Keywords

    • Central coefficient
    • Composita
    • Generating function
    • Triangle

    ASJC Scopus subject areas

    • Discrete Mathematics and Combinatorics

    Cite this

    A method for obtaining generating functions for central coefficients of triangles. / Kruchinin, Dmitry; Kruchinin, Vladimir.

    In: Journal of Integer Sequences, Vol. 15, No. 9, 20.11.2012.

    Research output: Contribution to journalArticle

    Kruchinin, Dmitry ; Kruchinin, Vladimir. / A method for obtaining generating functions for central coefficients of triangles. In: Journal of Integer Sequences. 2012 ; Vol. 15, No. 9.
    @article{caad27cad5e641748052fa2f1983fdb4,
    title = "A method for obtaining generating functions for central coefficients of triangles",
    abstract = "We present techniques for obtaining a generating function for the central coefficients of a triangle T(n, k), which is given by the expression H(0) 6= 0. We also prove certain theorems for solving direct and inverse problems.",
    keywords = "Central coefficient, Composita, Generating function, Triangle",
    author = "Dmitry Kruchinin and Vladimir Kruchinin",
    year = "2012",
    month = "11",
    day = "20",
    language = "English",
    volume = "15",
    journal = "Journal of Integer Sequences",
    issn = "1530-7638",
    publisher = "University of Waterloo",
    number = "9",

    }

    TY - JOUR

    T1 - A method for obtaining generating functions for central coefficients of triangles

    AU - Kruchinin, Dmitry

    AU - Kruchinin, Vladimir

    PY - 2012/11/20

    Y1 - 2012/11/20

    N2 - We present techniques for obtaining a generating function for the central coefficients of a triangle T(n, k), which is given by the expression H(0) 6= 0. We also prove certain theorems for solving direct and inverse problems.

    AB - We present techniques for obtaining a generating function for the central coefficients of a triangle T(n, k), which is given by the expression H(0) 6= 0. We also prove certain theorems for solving direct and inverse problems.

    KW - Central coefficient

    KW - Composita

    KW - Generating function

    KW - Triangle

    UR - http://www.scopus.com/inward/record.url?scp=84875910688&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84875910688&partnerID=8YFLogxK

    M3 - Article

    VL - 15

    JO - Journal of Integer Sequences

    JF - Journal of Integer Sequences

    SN - 1530-7638

    IS - 9

    ER -