%0 Journal Article %T A Method for Obtaining Generating Function for Central Coefficients of Triangles %A Vladimir Kruchinin %A Dmitry Kruchinin %J Mathematics %D 2012 %I arXiv %X We present techniques for obtaining a generating function for the central coefficients of a triangle $T(n,k)$, which is given by the expression $[xH(x)]^k=\sum_{n\geqslant k} T(n,k)x^n$, $H(0)\neq 0$. We also prove certain theorems for solving direct and inverse problems. %U http://arxiv.org/abs/1206.0877v2