A003804 Order of universal Chevalley group A_6(q), q = prime power.
163849992929280, 67034222101339041669120, 72736898347485916060188672000, 3376566710423156250000000000000000, 35832085525362833262818017603275320524800, 21903309038581548352789123727634573903790080, 6274437692242927471137606015213542491815936000
Offset: 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.
Programs
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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
Extensions
Beginning same as A003811.
a(6)-a(7) from Sean A. Irvine, Sep 18 2015