A003847 Order of universal Chevalley group D_8(q), q = prime power.

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, 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