A003811 Order of simple Chevalley group A_6(q), q = prime power.

163849992929280, 67034222101339041669120, 72736898347485916060188672000, 3376566710423156250000000000000000, 35832085525362833262818017603275320524800, 3129044148368792621827017675376367700541440

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..6.

Formula

a(n) = a(A000961(n+1),6) 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[#, 6] & /@ Select[Range[2, 8], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Sequence in context: A175347 A216405 A364412 * A003804 A259034 A245721

Adjacent sequences: A003808 A003809 A003810 * A003812 A003813 A003814

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Beginning same as A003804.

a(6) from Sean A. Irvine, Sep 18 2015

Status

approved