Extreme Palindromes
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.
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