A003795 Order of simple Chevalley group A_n (5).

1, 60, 372000, 7254000000, 56653740000000000, 1383059427750000000000000, 3376566710423156250000000000000000, 25761093646334667714843750000000000000000000, 78616578542037111790447631835937500000000000000000000000

Offset

0,2

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=0..8.

Formula

a(n) = a(5,n) 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[5, #] & /@ Range[0, 8] (* Michael De Vlieger, Sep 18 2015 *)

Crossrefs

Sequence in context: A180261 A348819 A259540 * A003921 A003928 A065247

Adjacent sequences: A003792 A003793 A003794 * A003796 A003797 A003798

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

a(8) from Sean A. Irvine, Sep 18 2015

Status

approved