A378273 Number of subgroups of S_n isomorphic to S_4 up to conjugacy, where S_n is the n-th symmetric group.

0, 0, 0, 1, 1, 4, 5, 10, 13, 22, 27, 47, 56, 84, 104, 147, 175, 250

Offset

1,6

Links

Table of n, a(n) for n=1..18.

Prog

(GAP) A378273 := function(n)
return Length(IsomorphicSubgroups(SymmetricGroup(n), SymmetricGroup(4)));
end;

Crossrefs

Column k=4 of A378177.

Cf. A004526, A378266, A378274.

Sequence in context: A114517 A283246 A236283 * A357865 A366864 A322610

Adjacent sequences: A378270 A378271 A378272 * A378274 A378275 A378276

Keyword

nonn,hard,more

Author

Jianing Song, Nov 21 2024

Status

approved