A003809 Order of simple Chevalley group A_4(q), q = prime power.

9999360, 237783237120, 258492255436800, 56653740000000000, 187035198320488089600, 4638226007491010887680, 78660280796419613491200, 1952052708565059186240000, 539322992420959314658621440, 15779626219308347912355840000, 338200968038818404584356577280, 4884441266449243967839995916800

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

Table of n, a(n) for n=1..12.

Formula

a(n) = a(A000961(n+1),4) where a(q,n) is defined in A003793. - Sean A. Irvine, Sep 18 2015

Mathematica

f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[#, 4] & /@ Select[Range[2, 22], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Different from A003802.

Sequence in context: A234980 A179737 A234376 * A003802 A033425 A153751

Adjacent sequences: A003806 A003807 A003808 * A003810 A003811 A003812

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

a(9)-a(12) from Michael De Vlieger, Sep 18 2015

Status

approved