|
| |
|
|
A062250
|
|
Number of cyclic subgroups of Chevalley group A_n(2) (the group of nonsingular n X n matrices over GF(2) ).
|
|
4
| |
|
|
1, 5, 79, 6974, 2037136, 2890467344, 14011554132032, 325330342132674560, 27173394819858612320256, 10158190320726534408118452224, 13156630408268153048253765001412608, 80280189722884518774834501142737770774528
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
REFERENCES
| V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
|
|
|
LINKS
| 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: A152297 A141828 A134531 * A131284 A105917 A144344
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 (vladeta(AT)eunet.rs), Jul 04 2001
|
| |
|
|
