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A116693 Number of fixed-point-free subgroups of the symmetric group S_n. 2

%I #17 Dec 17 2019 12:04:08

%S 1,0,1,2,15,50,874,3515,94638,634630,18368060,149965474,7392944314,

%T 61596293433,4042125261152,46326163964879,4045711099761347,

%U 47868661342996788,6066544790946772416

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

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%t A005432 = Cases[Import["https://oeis.org/A005432/b005432.txt", "Table"], {_, _}][[All, 2]];

%t a[n_] := Sum[(-1)^(n-k) Binomial[n, k] A005432[[k+1]], {k, 0, n}];

%t a /@ Range[0, Length[A005432]-1] (* _Jean-François Alcover_, Dec 17 2019 *)

%Y Labeled version of A000637. Inverse binomial Transform of A005432.

%K nonn,hard

%O 0,4

%A _Christian G. Bower_, Feb 23 2006

%E More terms from inverse binomial transform of A005432 by _R. J. Mathar_, Mar 03 2015

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Last modified April 25 05:56 EDT 2024. Contains 371964 sequences. (Running on oeis4.)