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%I #10 Oct 17 2015 08:36:23
%S 0,1,3,2,7,5,8,4,6,17,18,12,11,15,20,13,21,9,10,22,14,16,19,45,46,48,
%T 49,50,31,32,30,28,29,40,39,43,52,54,55,34,33,41,57,35,58,23,24,59,25,
%U 26,27,61,36,62,37,38,63,42,44,47,64,51,53,56,60,129,130,132,133,134
%N Self-inverse permutation of natural numbers induced by the composition of the Catalan bijections A072796 and A073269.
%H A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (with the complete Scheme source)
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F a(n) = A072796(A073269(n)) = A072796(A069770(A072796(n))).
%Y Occurs for first time in A073200 as row 15. This is a conjugate of A069770, so the fixed element and the cycle counts are same as for A069770: "Aerated Catalan numbers" and A007595.
%K nonn
%O 0,3
%A _Antti Karttunen_, Jun 25 2002