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


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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