A generating function for the diagonal T&lt;inf&gt;2n,n&lt;/inf&gt; in triangles

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 language	English
Journal	Journal of Integer Sequences
Volume	18
Issue number	4
Publication status	Published - 2015

Keywords

Central coefficient
Composita
Diagonal
Generating function
Triangle

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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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",

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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

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M3 - Article

AN - SCOPUS:84934882983

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JO - Journal of Integer Sequences

JF - Journal of Integer Sequences

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