A049292 Number of subgroups of index n in fundamental group of a closed surface of characteristic -3.

1, 31, 1330, 119315, 17543016, 4537258768

Offset: 1

Author

Valery A. Liskovets

Keywords

• nonn
• nice

Comments

A formula in terms of irreducible characters of the symmetric group.

References

• V. A. Liskovets and A. Mednykh, Enumeration of subgroups in the fundamental groups of orientable circle bundles over surfaces, Commun. in Algebra, 28, No. 4 (2000), 1717-1738.
• A. D. Mednykh, On the number of subgroups in the fundamental group of a closed surface. Commun. in Algebra, 16, No 10 (1988), 2137-2148.

Crossrefs

Cf. A003319, A027837, A049290-A049295.