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%I #6 May 01 2014 02:46:54
%S 1,2,5,3,4,11,12,13,6,7,14,10,8,9,29,30,33,31,32,36,37,34,15,16,35,19,
%T 17,18,40,41,42,25,26,38,27,20,21,39,28,24,22,23,85,86,89,87,88,95,96,
%U 97,90,91,98,94,92,93,104,105,112,108,109,106,110,99,43,44,100,47,45
%N Permutation of natural numbers induced by the automorphism df->bf (from the depth-first to breadth-first encoding) acting on the rooted planar binary trees encoded by A014486. (with one-based indexing).
%H A. Karttunen, <a href="/A070041/b070041.txt">Table of n, a(n) for n = 1..1430</a>
%H A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (Includes the complete Scheme program for computing this sequence)
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%Y Compare to the plot of A082363 and A072620.
%Y Inverse of A038776. Cf. also A057118.
%K nonn
%O 1,2
%A _Antti Karttunen_, Apr 16 2002
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