login
A362766
Number of nonisomorphic sets of permutations of an n-set.
2
2, 2, 4, 24, 711936, 11076899964874307395625695676727296
OFFSET
0,1
COMMENTS
Isomorphism is up to permutation of the elements of the n-set.
a(6) has 214 decimal digits.
LINKS
FORMULA
a(n) = Sum_{k=0..n!} A362763(n,k).
A050923(n) / n! <= a(n) <= A050923(n).
EXAMPLE
The a(2)=4 sets with permutations shown in cycle notation are:
{},
{(1)(2)},
{(12)},
{(1)(2), (12)}.
CROSSREFS
Row sums of A362763.
Cf. A050923.
Sequence in context: A009541 A307969 A212672 * A176161 A006829 A154594
KEYWORD
nonn
AUTHOR
Andrew Howroyd, May 03 2023
STATUS
approved