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A Generalization of Pascal's Triangle Using Powers of Base Numbers
Author(s) -
Kallós Gábor
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610321
Subject(s) - pascal (unit) , binomial coefficient , generalization , multinomial distribution , binomial theorem , mathematics , binomial (polynomial) , combinatorics , base (topology) , discrete mathematics , computer science , programming language , statistics , mathematical analysis
In this paper we generalize the Pascal triangle and examine the connections among the generalized triangles and powering integers respectively polynomials. We emphasize connections with the binomial and multinomial theorems, and finally we present some computational results. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)