login
A003847
Order of universal Chevalley group D_8(q), q = prime power.
1
911666827031785075278550369566720000, 1574947942338058195342953134725345263180893951172280320000, 1649493899207759406688161287839326786813727965837588934265143296000000000
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
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
KEYWORD
nonn,easy
EXTENSIONS
a(3) added by Sean A. Irvine, Sep 17 2015
STATUS
approved