### 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 |

### Fingerprint

### Keywords

- Central coefficient
- Composita
- Diagonal
- Generating function
- Triangle

### ASJC Scopus subject areas

- Discrete Mathematics and Combinatorics

### Cite this

*Journal of Integer Sequences*,

*18*(4).

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

Research output: Contribution to journal › Article

*Journal of Integer Sequences*, vol. 18, no. 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 -