English

A Method for Obtaining Generating Function for Central Coefficients of Triangles

Combinatorics 2012-11-22 v2

Abstract

We present techniques for obtaining a generating function for the central coefficients of a triangle T(n,k)T(n,k), which is given by the expression [xH(x)]k=nkT(n,k)xn[xH(x)]^k=\sum_{n\geqslant k} T(n,k)x^n, H(0)0H(0)\neq 0. We also prove certain theorems for solving direct and inverse problems.

Cite

@article{arxiv.1206.0877,
  title  = {A Method for Obtaining Generating Function for Central Coefficients of Triangles},
  author = {Vladimir Kruchinin and Dmitry Kruchinin},
  journal= {arXiv preprint arXiv:1206.0877},
  year   = {2012}
}
R2 v1 2026-06-21T21:14:23.224Z