Journal of Integer Sequences, Vol. 15 (2012), Article 12.9.3

A Method for Obtaining Generating Functions for Central Coefficients of Triangles

Dmitry Kruchinin and Vladimir Kruchinin
Tomsk State University of Control Systems and Radioelectronics
Russian Federation


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 = Σnk T(n, k)xn, H(0) ≠ 0. We also prove certain theorems for solving direct and inverse problems.

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(Concerned with sequences A000108 A000984 A001003 A105306 A176479 A199542.)

Received August 30 2012; revised version received November 5 2012. Published in Journal of Integer Sequences, November 20 2012.

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