A Method for Obtaining Generating Functions for
Central Coefficients of Triangles
Dmitry Kruchinin and Vladimir Kruchinin
Tomsk State University of Control Systems and Radioelectronics
Tomsk
Russian Federation
Abstract:
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 = Σn ≥ k T(n, k)xn,
H(0) ≠ 0. We also prove certain
theorems for solving direct and inverse problems.
Full version: pdf,
dvi,
ps,
latex
(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.
Return to
Journal of Integer Sequences home page
