%I #6 Oct 17 2015 08:36:23
%S 0,1,2,3,5,4,6,8,7,13,12,11,10,9,15,14,19,22,21,16,20,18,17,36,35,34,
%T 32,31,33,30,29,27,26,28,25,24,23,41,40,39,38,37,52,51,60,64,63,56,62,
%U 59,58,43,42,53,61,57,47,55,50,49,44,54,48,46,45,106,105,104,101,100
%N Self-inverse permutation of natural numbers induced by the composition of the Catalan bijections A069770 & A057163.
%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) = A069770(A057163(n)) = A057163(A069770(n)).
%Y Occurs for first time in A073200 as row 9.
%K nonn
%O 0,3
%A _Antti Karttunen_, Jun 25 2002