A225934 Number of conjugacy classes in simply connected twisted Chevalley group 2E6(q) as q runs through the prime powers.

346, 1389, 6102, 21182, 141262, 306574, 607533, 1969886, 5266030, 17975982, 25750142, 49814254, 155091326, 254757166, 402919341, 616863422, 918109966, 1109543806, 2639036782, 4871920766, 6475547950, 11018778302, 14135789614, 22598987966, 42920581982

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.

a(n) = q^6 + q^5 + 2q^4 + 11q^2 + 11q + 16 if q == (1 mod 6).

a(n) = q^6 + q^5 + 2q^4 + 18q^2 + 26q + 62 if q == (2 mod 6).

a(n) = q^6 + q^5 + 2q^4 + 11q^2 + 11q + 15 if q == (3 mod 6).

a(n) = q^6 + q^5 + 2q^4 + 10q^2 + 10q + 14 if q == (4 mod 6).

a(n) = q^6 + q^5 + 2q^4 + 19q^2 + 27q + 72 if q == (5 mod 6).

Prog

(Sage) def A225934(q) : return q^6 + q^5 + 2*q^4 + 4*q^3 + [11*q^2 + 11*q + 16, 18*q^2 + 26*q + 62, 11*q^2 + 11*q + 15, 10*q^2 + 10*q + 14, 19*q^2 + 27*q + 72][q%6-1]

Crossrefs

Cf. A188161, A224790, A225928 - A225938.

Sequence in context: A139266 A063536 A045102 * A287700 A281163 A059074

Adjacent sequences: A225931 A225932 A225933 * A225935 A225936 A225937

Keyword

nonn

Author

Eric M. Schmidt, May 21 2013

Status

approved