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A127292 Signature-permutation of the inverse of Elizalde's and Deutsch's 2003 bijection for Dyck paths.

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%I A127292 #5 Mar 31 2012 13:21:14
%S A127292 0,1,3,2,8,7,4,5,6,22,21,17,18,20,11,9,12,13,10,16,14,19,15,64,63,58,
%T A127292 59,62,48,45,49,50,46,57,54,61,55,33,30,23,25,28,34,31,35,36,32,24,26,
%U A127292 29,27,47,44,37,39,42,56,53,60,51,38,40,43,41,52,196,195,189,190,194
%N A127292 Signature-permutation of the inverse of Elizalde's and Deutsch's 2003 bijection for Dyck paths.
%C A127292 Note that this automorphism cannot be produced just by giving A127288 (the inverse of A127287) to function "tau" given in A127291. Instead, we have to use another algorithm given in A127300 and then conjugate it by A057164.
%D A127292 Emeric Deutsch and Sergi Elizalde, A simple and unusual bijection for Dyck paths and its consequences, Annals of Combinatorics, 7 (2003), no. 3, 281-297.
%H A127292 A. Karttunen, <a href="/A127292/b127292.txt">Table of n, a(n) for n = 0..2055</a>
%H A127292 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations of Catalan automorphisms</a>
%Y A127292 Inverse: A127291. a(n) = A057164(A127290(n)) = A057164(A127300(A057164(n))).
%K A127292 nonn
%O A127292 0,3
%A A127292 _Antti Karttunen_, Jan 16 2007