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%I #7 Oct 15 2015 10:55:24
%S 0,1,4,2,3,10,11,12,5,6,13,9,7,8,28,29,32,30,31,33,34,35,14,15,36,18,
%T 16,17,37,38,41,24,25,39,26,19,20,40,27,23,21,22,84,85,88,86,87,94,95,
%U 96,89,90,97,93,91,92,98,99,102,100,101,103,104,105,42,43,106,46,44,45
%N Permutation of natural numbers induced by the contraction of Catalan bijection signature-permutation A082355.
%H A. Karttunen, <a href="/A082363/b082363.txt">Table of n, a(n) for n = 0..1429</a>
%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#IntegerPermutationCatAuto">Index entries for signature-permutations induced by Catalan automorphisms</a>
%F a(n) = A082853(A082355(A081291(n))).
%Y Compare to the plot of A070041.
%Y Inverse of A082364. Cf. also A082361-A082362.
%K nonn
%O 0,3
%A _Antti Karttunen_, Apr 17 2003