A003928 Order of simple Chevalley group B_n (5).

60, 4680000, 228501000000000, 6973279267500000000000000, 133004733151172695312500000000000000000, 1585539968089882234636505126953125000000000000000000000

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Index entries for sequences related to groups.

Crossrefs

Cf. A003927, A003929, A003930.

Programs

Mathematica

b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[5, n], {n, 1, 6}] (* Amiram Eldar, Jul 11 2025 *)

Formula

a(n) = b(5,n) where b(q,n) is defined in A003927. - Sean A. Irvine, Sep 22 2015

a(n) ~ c * 5^(2*n^2+n)/2, where c = Product_{k>=1} (1 - 1/5^(2*k)) = 0.958400102563... . - Amiram Eldar, Jul 11 2025