Journal of Integer Sequences, Vol. 11 (2008), Article 08.2.2

A Note on Krawtchouk Polynomials and Riordan Arrays


Paul Barry
School of Science
Waterford Institute of Technology
Ireland

Abstract:

We study links between Krawtchouk polynomials and Riordan arrays of both the ordinary kind and the exponential kind. We derive summation formulas for values of the Krawtchouk polynomials using the A-sequences of the Riordan arrays.

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(Concerned with sequences A000108 A001850 A008288 A024495 A081578 A098593 A106566 and A132364.) .)

Received December 5 2007; revised version received May 8 2008. Published in Journal of Integer Sequences, June 3 2008.

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