A003930 Order of simple Chevalley group B_n (9).

360, 1721606400, 54025731402499584000, 11123418742298669930322238341120000, 15026089310120671289900284876259193821694984192000000, 133175299735499915203175849633922453238030221758644323033296865853440000000

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Index entries for sequences related to groups.

Crossrefs

Cf. A003927, A003928, A003929.

Programs

Mathematica

b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[9, n], {n, 1, 6}] (* Amiram Eldar, Jul 11 2025 *)

Formula

a(n) = b(9,n) where b(q,n) is defined in A003927. - Sean A. Irvine, Sep 22 2015

a(n) ~ c * 9^(2*n^2+n)/2, where c = Product_{k>=1} (1 - 1/9^(2*k)) = 0.987501905484... . - Amiram Eldar, Jul 11 2025

Extensions

a(6) from Sean A. Irvine, Sep 22 2015