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%I #8 Jul 18 2021 06:29:37
%S 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,16,17,18,15,20,21,22,23,24,25,
%T 26,27,28,33,30,31,32,29,34,35,36,37,39,51,56,52,42,53,44,45,46,43,48,
%U 49,50,38,60,47,54,61,40,57,58,59,41,55,62,63,64,65,66,67,68,69,70,75
%N Permutation of natural numbers induced by the automorphism gt-df->bf (switch from the Depth First to the Breadth First coding for the general trees/parenthesizations) acting on the parenthesizations encoded by A014486.
%C When restricted to the subset of plane binary trees, produces the automorphism A057118 and being "self-embeddable", this allows us also to construct the permutation A072620 (A072622). [See comment at A072088.]
%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 Inverse permutation: A072088. Cf. also A014486, A057118, A072620.
%K nonn
%O 0,3
%A _Antti Karttunen_, Jun 25 2002