A225931 Number of conjugacy classes in Chevalley group F_4(q) as q runs through the prime powers.

95, 273, 539, 1156, 3566, 5603, 8751, 18346, 34364, 75443, 95656, 146882, 308254, 426656, 576345, 762412, 990326, 1120595, 1985636, 2976016, 3591434, 5103526, 6017672, 8208724, 12553402, 14326796, 17326739, 20785106, 26163886, 29214704, 39981062, 44156775

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^4 + 2q^3 + 6q^2 + 10q + 19 if q == 0 mod 2.

a(n) = q^4 + 2q^3 + 7q^2 + 15q + 30 if q == 0 mod 3.

a(n) = q^4 + 2q^3 + 7q^2 + 15q + 31 otherwise.

Prog

(Sage) def A225931(q) : return q^4 + 2*q^3 + (6*q^2 + 10*q + 19 if q%2==0 else 7*q^2 + 15*q + 30 if q%3==0 else 7*q^2 + 15*q + 31)

Crossrefs

Cf. A188161, A224790, A225928 - A225938.

Sequence in context: A044808 A116113 A051400 * A008875 A174157 A200882

Adjacent sequences: A225928 A225929 A225930 * A225932 A225933 A225934

Keyword

nonn

Author

Eric M. Schmidt, May 21 2013

Status

approved