A062250 Number of cyclic subgroups of Chevalley group A_n(2) (the group of nonsingular n X n matrices over GF(2) ).

1, 5, 79, 6974, 2037136, 2890467344, 14011554132032, 325330342132674560, 27173394819858612320256, 10158190320726534408118452224, 13156630408268153048253765001412608, 80280189722884518774834501142737770774528

Offset

1,2

References

V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

Links

Table of n, a(n) for n=1..12.

V. Jovovic, Cycle index of general linear group GL(n,2)

Formula

a(n) = Sum_{d} |{g element of A_n(2): order(g)=d}|/phi(d), where phi=Euler totient function, cf. A000010.

Example

a(3) = 1/phi(1)+21/phi(2)+56/phi(3)+42/phi(4)+48/phi(7) = 79.

Crossrefs

Cf. A053651 (unlabeled case), A053658, A053660, A053718, A053722, A053725, A053771-A053777, A058502, A062552, A062240.

Sequence in context: A141828 A134531 A347841 * A131284 A105917 A269792

Adjacent sequences: A062247 A062248 A062249 * A062251 A062252 A062253

Keyword

nonn

Author

Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 01 2001

Extensions

More terms from Vladeta Jovovic, Jul 04 2001

Status

approved