A058502 Number of cyclic subgroups of Chevalley group A_n(3) (the group of nonsingular n X n matrices over GF(3)).

2, 28, 3592, 4375990, 45881030476, 4761512868259324, 4226568802536503453176, 33913358590726454284540553032, 2539147871121449320978174414096629904, 1751590210907807486213696422942566723118774192, 10257642878603441540313639499316772578643776243183698528

Offset

1,1

Links

Table of n, a(n) for n=1..11.

Sean A. Irvine, Java program (github)

Formula

a(n) = Sum_{d} |{g element of A_n(3): order(g)=d}| / phi(d), where phi is the Euler totient function. - Sean A. Irvine, Aug 07 2022

Crossrefs

Cf. A053658 (unlabeled case), A062250, A062552, A053290.

Sequence in context: A168554 A152792 A085602 * A080266 A308757 A180423

Adjacent sequences: A058499 A058500 A058501 * A058503 A058504 A058505

Keyword

nonn

Author

Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 02 2001

Extensions

More terms from Vladeta Jovovic, Jul 05 2001

a(6)-a(7) corrected and more terms from Sean A. Irvine, Aug 07 2022

Status

approved