A057511 Permutation of natural numbers: rotations of all branches of the rooted plane trees encoded by A014486.

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, 30, 33, 37, 39, 42, 44, 53, 51, 47, 56, 60, 24, 29, 38, 43, 52, 26, 40, 31, 45, 48, 34, 54, 57, 61, 27, 41, 32, 46, 55, 35, 49, 58, 62, 36, 50, 59, 63, 64, 65, 67, 70, 72, 75, 79, 81

Offset

0,3

Links

Table of n, a(n) for n=0..71.

Index entries for sequences that are permutations of the natural numbers

Maple

# See A057509 for rotateL, A057501 for other procedures.
map(CatalanRankGlobal, map(DeepRotateL, A014486));
DeepRotateL := n -> pars2binexp(deeprotateL(binexp2pars(n)));
deeprotateL := proc(a) if 0 = nops(a) or list <> whattype(a) then (a) else rotateL(map(deeprotateL, a)); fi; end;

Crossrefs

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

Sequence in context: A127286 A130946 A073284 * A121730 A275659 A244321

Adjacent sequences: A057508 A057509 A057510 * A057512 A057513 A057514

Keyword

nonn

Author

Antti Karttunen, Sep 03 2000

Status

approved