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Extreme Palindromes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2008Embargo end date: 01 Jan 2006Publisher:Informa UK LimitedJournal:The American Mathematical Monthly, volume 115, pages 447-451 (issn: 0002-9890, eissn: 1930-0972,

Authors: Ji, Kathy Q.; Wilf, Herbert S.;

doi: 10.1080/00029890.2008.11920548 , 10.48550/arxiv.math/0611465

arXiv: http://arxiv.org/abs/math/0611465

Extreme Palindromes

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Abstract

A recursively palindromic (RP) word is one that is a palindrome and whose left half-word and right half-word are each RP. Thus ABACABA is, and MADAM is not, an RP word. We count RP words of given length over a finite alphabet and RP compositions of an integer. We use the same method to determine the parity of the Catalan numbers.

Related Organizations

University of Pennsylvania
United States
Nankai University
China (People's Republic of)

Keywords

FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 05A15

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