A078103 Number of maximal independent generating sets for S_n.

1, 1, 6, 94, 285, 6342, 44023, 732740, 14220153, 315233605, 7857947691, 217541911830, 6621714803509, 219780508232663, 7899055867765455, 305601002241052936, 12662255840668015089, 559390257977596068105, 26246546675302419239635, 1303417502979112415328410

Offset

1,3

References

P. J. Cameron and P. Cara, Independent generating sets and geometries for symmetric groups, J. Algebra, Vol. 258, no. 2 (2002), 641-650.

Links

Table of n, a(n) for n=1..20.

Formula

For n > 4, a(n) = n^(n-2)+(n*(n-1)/2)*(n-1)^(n-3).

Crossrefs

Agrees with A076863 for n > 4.

Sequence in context: A359928 A033935 A218682 * A221525 A321073 A198257

Adjacent sequences: A078100 A078101 A078102 * A078104 A078105 A078106

Keyword

nonn

Author

N. J. A. Sloane, Dec 05 2002

Status

approved