A116693 Number of fixed-point-free subgroups of the symmetric group S_n.

1, 0, 1, 2, 15, 50, 874, 3515, 94638, 634630, 18368060, 149965474, 7392944314, 61596293433, 4042125261152, 46326163964879, 4045711099761347, 47868661342996788, 6066544790946772416

Offset: 0

Author

Christian G. Bower, Feb 23 2006

Keywords

• nonn
• hard

Links

• N. J. A. Sloane, Transforms

Crossrefs

Labeled version of A000637. Inverse binomial Transform of A005432.

Programs

Mathematica

A005432 = Cases[Import["https://oeis.org/A005432/b005432.txt", "Table"], {, }][[All, 2]];
a[n_] := Sum[(-1)^(n-k) Binomial[n, k] A005432[[k+1]], {k, 0, n}];
a /@ Range[0, Length[A005432]-1] (* Jean-François Alcover, Dec 17 2019 *)

Extensions

More terms from inverse binomial transform of A005432 by R. J. Mathar, Mar 03 2015