Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.6

A Generating Function for the Diagonal T2n,n in Triangles


Dmitry V. Kruchinin
Tomsk State University of Control Systems and Radioelectronics
and
National Research Tomsk Polytechnic University
Tomsk
Russian Federation

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

Abstract:

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.

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(Concerned with sequences A001006 A001764 A002208 A191578 A199542.)

Received February 28 2014; revised versions received November 10 2014; December 7 2014; February 24 2015. Published in Journal of Integer Sequences, May 13 2015.

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