A281097 Number of group homomorphisms S_3 -> S_n, where S_n denotes the symmetric group on n letters.

1, 2, 10, 34, 146, 1036, 5692, 36380, 323164, 2394136, 19863416, 210278872, 1937685400

Offset: 1

Author

Daniel McLaury, Apr 12 2017

Keywords

• nonn
• hard
• more

Crossrefs

A000085 gives the number of group homomorphisms S_2 -> S_n.

Cf. A378279, A378163.

Programs

GAP

List([1..8], n -> Length(AllHomomorphisms(SymmetricGroup(3), SymmetricGroup(n))));

Formula

a(n) = 6*A378279(n) + A000085(n). See A378163 for more information. - Jianing Song, Nov 27 2024

Extensions

a(8) from Georg Fischer, Jun 16 2022

a(9)-a(13) from Jianing Song, Nov 27 2024