A362765 Number of nonisomorphic 3-sets of permutations of an n-set.

0, 0, 6, 116, 2494, 87984, 4250015, 271412031, 21965480315, 2195837248568, 265649147125826, 38249422194113490, 6463715127098722285, 1266831272477388372744, 285028258253204630333567, 72965650731125156284328720, 21086743012582217859035501699

Offset

1,3

Comments

Isomorphism is up to permutation of the elements of the n-set.

Links

Andrew Howroyd, Table of n, a(n) for n = 1..50

Example

The a(3)=6 sets with permutations shown in cycle notation are:
  {(1)(2)(3), (1)(23), (12)(3)},
  {(1)(2)(3), (1)(23), (123)},
  {(1)(2)(3), (123), (132)},
  {(1)(23), (12)(3), (123)},
  {(1)(23), (12)(3), (13)(2)},
  {(1)(23), (123), (132)}.

Crossrefs

Column k=3 of A362763.

Cf. A362646, A362764.

Sequence in context: A052465 A229582 A113015 * A024275 A287652 A259064

Adjacent sequences: A362762 A362763 A362764 * A362766 A362767 A362768

Keyword

nonn

Author

Andrew Howroyd, May 03 2023

Status

approved