A003920 Order of universal Chevalley group B_n (3).

24, 51840, 9170703360, 131569513308979200, 152915585868239728626892800, 14395932257291877030764312963579904000, 109777561863482259035023554842176139436811616256000

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 [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.

Links

Table of n, a(n) for n=1..7.

Robert Steinberg, Lectures on Chevalley Groups, Dept. of Mathematics, Yale University, 1967, pp. 130-131.

Index entries for sequences related to groups

Formula

a(n) = B(3,n) where B(q,n) = q^(n^2) * Product_{k=1..n}(q^(2*k)-1). - Sean A. Irvine, Sep 22 2015

Crossrefs

Cf. A071302.

Sequence in context: A100733 A158664 A125048 * A367568 A052504 A159388

Adjacent sequences: A003917 A003918 A003919 * A003921 A003922 A003923

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved