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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; text; internal format)
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V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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: A293786 A141828 A134531 * 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

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Last modified February 17 14:12 EST 2018. Contains 299296 sequences. (Running on oeis4.)