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

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

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..7.

Formula

a(n) = A(A000961(n+1),6) 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[#, 6] & /@ Select[Range[2, 10], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Sequence in context: A216405 A364412 A003811 * A259034 A245721 A320874

Adjacent sequences: A003801 A003802 A003803 * A003805 A003806 A003807

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Beginning same as A003811.

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

Status

approved