A003928 Order of simple Chevalley group B_n (5).
60, 4680000, 228501000000000, 6973279267500000000000000, 133004733151172695312500000000000000000, 1585539968089882234636505126953125000000000000000000000
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[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