A225929 Number of conjugacy classes in Chevalley group G_2(q) as q runs through the prime powers.

16, 23, 32, 44, 72, 88, 107, 152, 204, 296, 332, 408, 584, 684, 791, 908, 1032, 1096, 1452, 1772, 1944, 2312, 2508, 2924, 3608, 3852, 4232, 4632, 5192, 5484, 6408, 6731, 7064, 8108, 9612, 10412, 10824, 11672, 12108, 13004, 14892, 15884, 16392, 16648, 17432

Offset

1,1

Links

Eric M. Schmidt, Table of n, a(n) for n = 1..1000

Frank Luebeck, Numbers of Conjugacy Classes in Finite Groups of Lie Type.

Formula

Let q be the n-th prime power. Then a(n) = q^2 + 2q + c, where c = 9 if q == 1, 5 (mod 6) and c = 8 otherwise.

Prog

(Sage) def A225929(q) : return q^2 + 2*q + (9 if q%6 in [1, 5] else 8)

Crossrefs

Cf. A188161, A224790, A225928 - A225938.

Sequence in context: A070572 A176657 A006616 * A179370 A166675 A114405

Adjacent sequences: A225926 A225927 A225928 * A225930 A225931 A225932

Keyword

nonn

Author

Eric M. Schmidt, May 21 2013

Status

approved