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%I #11 Apr 14 2024 11:07:59
%S 1,32,8112,17971200,355207057920,63010655570903040,
%T 100505356319291594711040,1442361950110091891786121216000,
%U 186276322602412236974585775503690956800,216505458700483736766078241517019274701019545600,2264736353104098912130003755084217747715114856943819161600
%N Number of n X n matrices over GF(3) with rank n-1.
%F For n>=2: a(n) = Product_{j=0..n-2} (3^n - 3^j)^2 / (3^(n-1)- 3^j).
%F a(n) = ((3^n-1)/2)*Product_{j=0..n-2} (3^n-3^j). - _David Wasserman_, Mar 28 2005
%t Table[3^(n^2) * (1 - 1/3^n) * QPochhammer[1/3^n, 3, n-1]/2, {n, 1, 10}] (* _Vaclav Kotesovec_, Apr 14 2024 *)
%Y Cf. A086699, A053290, A060868.
%K nonn,easy,changed
%O 1,2
%A Yuval Dekel (dekelyuval(AT)hotmail.com), Jul 31 2003
%E More terms from _David Wasserman_, Mar 28 2005
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