A003802 Order of universal Chevalley group A_4(q), q = prime power.

9999360, 237783237120, 258492255436800, 56653740000000000, 187035198320488089600, 4638226007491010887680, 78660280796419613491200, 9760263542825295931200000, 539322992420959314658621440, 78898131096541739561779200000

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

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

Formula

a(n) = A(A000961(n+1),4) where A(q,n) is defined in A003787. - Sean A. Irvine, Sep 18 2015

Mathematica

f[m_, n_] := m^(n (n + 1)/2) Product[m^k - 1, {k, 2, n + 1}]; f[#, 4] & /@ Select[Range[2, 16], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Different from A003809.

Sequence in context: A179737 A234376 A003809 * A033425 A153751 A027664

Adjacent sequences: A003799 A003800 A003801 * A003803 A003804 A003805

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Sep 18 2015

Status

approved