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A053195 Number of level permutations of degree n. 3
1, 2, 3, 18, 45, 360, 1575, 20790, 99225, 1332450, 9823275, 181496700, 1404728325, 26221595400, 273922023375, 7196040101250, 69850115960625, 1662139682453250, 22561587455281875, 675158520854317500 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

A permutation is level if the powers of 2 dividing its cycle lengths are all equal.

For odd n, level permutations of degree n are just permutations that have odd order, i.e., A053195(2*n+1) = A000246(2*n+1). - Vladeta Jovovic, Sep 29 2004

LINKS

L. Babai and P. J. Cameron, Automorphisms and enumeration of switching classes of tournaments, Electron. J. Combin., 7 (2000), no. 1, Research Paper 38, 25 pp.

CROSSREFS

Cf. A049313, A053197.

Sequence in context: A163910 A064777 A137784 * A003693 A048047 A114165

Adjacent sequences:  A053192 A053193 A053194 * A053196 A053197 A053198

KEYWORD

nonn,nice

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 02 2000

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Last modified February 16 20:12 EST 2012. Contains 205962 sequences.