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
Keywords
References
- P. J. Cameron and P. Cara, Independent generating sets and geometries for symmetric groups, J. Algebra, Vol. 258, no. 2 (2002), 641-650.
Crossrefs
Agrees with A076863 for n > 6. [Corrected by Sean A. Irvine, Jun 16 2025]
Formula
For n > 6, a(n) = n^(n-2)+(n*(n-1)/2)*(n-1)^(n-3).