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%I #28 Jan 19 2024 04:43:56
%S 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
%T 26,27,28,29,30,31,32,33,48,35,36,37,38,39,34,41,42,40,44,45,46,43,47,
%U 49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71
%N Permutation A057505 applied six times, permutation A071661 cubed, permutation A071663 squared.
%C Inverse permutation: A071670 and also its car/cdr-flipped conjugate. See formulas.
%H Robert Donaghey, <a href="https://doi.org/10.1016/0095-8956(80)90045-3">Automorphisms on Catalan trees and bracketing</a>, J. Combin. Theory, Series B, 29 (1980), 75-90.
%H Antti Karttunen, <a href="http://oeis.org/wiki/User:Antti_Karttunen/Speculations/On_the_fixed_points_of_A071661">On the fixed points of A071661</a>, OEIS Wiki, notes concerning this and related sequences. See especially at the end.
%H Antti Karttunen, <a href="https://web.archive.org/web/20021212104851/http://ndirty.cute.fi/~karttu/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (Includes the complete Scheme source for computing this sequence).
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>.
%F a(n) = A057163(A071670(A057163(n))) = A057505(A071667(n)) = A071661(A071661(A071661(n))) = A071663(A071663(n)).
%Y Cf. A057163, A057505, A071661, A071663, A071665, A071667, A071669, A071670.
%K nonn
%O 0,3
%A _Antti Karttunen_, May 30 2002
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