A003847 - OEIS

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A003847

Order of universal Chevalley group D_8(q), q = prime power.

911666827031785075278550369566720000, 1574947942338058195342953134725345263180893951172280320000, 1649493899207759406688161287839326786813727965837588934265143296000000000

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

REFERENCES

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.

H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

LINKS

Sean A. Irvine, Table of n, a(n) for n = 1..10

FORMULA

a(n) = D(A000961(n+1),8) where D(q,n) is defined in A003830. Sean A. Irvine, Sep 17 2015

MATHEMATICA

f[m_, n_] := m^(n (n - 1)) (m^n - 1) Product[m^(2 k) - 1, {k, n - 1}]; f[#, 8] & /@ Select[Range[2, 4], PrimePowerQ] (* Michael De Vlieger, Sep 17 2015 *)

CROSSREFS

Sequence in context: A341116 A323538 A003854 * A095466 A115555 A217419

Adjacent sequences: A003844 A003845 A003846 * A003848 A003849 A003850

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

a(3) added by Sean A. Irvine, Sep 17 2015

STATUS

approved