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A225931 Number of conjugacy classes in Chevalley group F_4(q) as q runs through the prime powers. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 29 17:18 EDT 2022. Contains 357090 sequences. (Running on oeis4.)