A003929 Order of simple Chevalley group B_n (7).

168, 138297600, 273457218604953600, 1298254740461168363656151040000, 14798669658041409826117343924395087366717440000, 405021050810995193742724745833742085838315883140458032922624000000

Offset

1,1

Links

Table of n, a(n) for n=1..6.

Index entries for sequences related to groups.

Formula

a(n) = b(7,n) where b(q,n) is defined in A003927. - Sean A. Irvine, Sep 22 2015

a(n) ~ c * 7^(2*n^2+n)/2, where c = Product_{k>=1} (1 - 1/7^(2*k)) = 0.979175347148... . - Amiram Eldar, Jul 11 2025

Mathematica

b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[7, n], {n, 1, 6}] (* Amiram Eldar, Jul 11 2025 *)

Crossrefs

Cf. A003927, A003928, A003930.

Sequence in context: A223125 A003797 A297048 * A343269 A240069 A184035

Adjacent sequences: A003926 A003927 A003928 * A003930 A003931 A003932

Keyword

nonn

Author

N. J. A. Sloane

Extensions

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

Status

approved