A003804 Order of universal Chevalley group A_6(q), q = prime power.

163849992929280, 67034222101339041669120, 72736898347485916060188672000, 3376566710423156250000000000000000, 35832085525362833262818017603275320524800, 21903309038581548352789123727634573903790080, 6274437692242927471137606015213542491815936000

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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.

Programs

Mathematica

f[m_, n_] := m^(n (n + 1)/2) Product[m^k - 1, {k, 2, n + 1}]; f[#, 6] & /@ Select[Range[2, 10], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Formula

a(n) = A(A000961(n+1),6) where A(q,n) is defined in A003787. - Sean A. Irvine, Sep 18 2015

Extensions

Beginning same as A003811.

a(6)-a(7) from Sean A. Irvine, Sep 18 2015