A003929 Order of simple Chevalley group B_n (7).
168, 138297600, 273457218604953600, 1298254740461168363656151040000, 14798669658041409826117343924395087366717440000, 405021050810995193742724745833742085838315883140458032922624000000
Offset: 1
Keywords
Programs
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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 *)
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
Extensions
a(6) from Sean A. Irvine, Sep 22 2015