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Permutation of natural numbers: rotations of all branches of the rooted plane trees encoded by A014486.
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%I #7 May 01 2014 02:48:29

%S 0,1,2,3,4,6,5,7,8,9,11,14,16,19,10,15,12,17,20,13,18,21,22,23,25,28,

%T 30,33,37,39,42,44,53,51,47,56,60,24,29,38,43,52,26,40,31,45,48,34,54,

%U 57,61,27,41,32,46,55,35,49,58,62,36,50,59,63,64,65,67,70,72,75,79,81

%N Permutation of natural numbers: rotations of all branches of the rooted plane trees encoded by A014486.

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%p # See A057509 for rotateL, A057501 for other procedures.

%p map(CatalanRankGlobal,map(DeepRotateL, A014486));

%p DeepRotateL := n -> pars2binexp(deeprotateL(binexp2pars(n)));

%p deeprotateL := proc(a) if 0 = nops(a) or list <> whattype(a) then (a) else rotateL(map(deeprotateL,a)); fi; end;

%Y Inverse permutation: A057512. Cycle counts: A057513. Number of fixed objects: A057546. Max. cycle lengths are given by Landau's function A000793.

%K nonn

%O 0,3

%A _Antti Karttunen_, Sep 03 2000