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A127299 Signature-permutation of A057164-conjugate of Elizalde's and Deutsch's 2003 bijection for Dyck paths.

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%I A127299 #8 Jul 07 2025 16:12:43
%S A127299 0,1,3,2,5,8,7,6,4,15,18,10,13,21,20,22,12,11,19,17,16,14,9,29,32,52,
%T A127299 55,62,43,46,38,41,49,24,27,35,58,34,36,57,59,64,48,50,40,39,47,26,25,
%U A127299 33,56,61,63,54,53,60,31,30,28,51,45,44,42,37,23,113,116,136,139,146
%N A127299 Signature-permutation of A057164-conjugate of Elizalde's and Deutsch's 2003 bijection for Dyck paths.
%D A127299 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 A127299 <a href="/index/Per#IntegerPermutationCatAuto">Index entries for signature-permutations of Catalan automorphisms</a>
%o A127299 (Scheme) (define (A127299 n) (A057164 (A127291 (A057164 n))))
%Y A127299 Inverse: A127300. a(n) = A057164(A127291(A057164(n))) = A057164(A127289(n)).
%K A127299 nonn
%O A127299 0,3
%A A127299 _Antti Karttunen_, Jan 16 2007