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%I #21 Aug 02 2018 16:36:49
%S 1,2,288,1886976,489104179200,4755360379856486400,
%T 1695944421638473850132889600,21967113634648374162210646578639667200,
%U 10286692771039109536373764545035369981946101760000,173770439600109774111384717714984362383506603790098046648320000
%N Number of invertible n X n matrices mod 6 (i.e., over the ring Z_6).
%H Geoffrey Critzer, <a href="https://esirc.emporia.edu/handle/123456789/3595">Combinatorics of Vector Spaces over Finite Fields</a>, Master's thesis, Emporia State University, 2018.
%H J. Overbey, W. Traves and J. Wojdylo, <a href="http://jeff.over.bz/papers/undergrad/on-the-keyspace-of-the-hill-cipher.pdf">On the Keyspace of the Hill Cipher</a>, Cryptologia Vol. 29, Iss. 1, 2005.
%F a(n) = 6^(n^2) * Product_{k=1..n} ((1 - 1/2^k)(1 - 1/3^k)).
%F a(n) = A002884(n)*A053290(n). - _Geoffrey Critzer_, Jan 26 2018
%t a[n_] := 6^(n^2)*Product[(1 - 1/2^k)*(1 - 1/3^k), { k, 1, n} ]; Table[ a[n], {n, 1, 9} ]
%Y Column k=6 of A316622.
%Y Cf. A065128.
%K nonn
%O 0,2
%A Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Nov 25 2001
%E More terms from _Robert G. Wilson v_, Nov 28 2001
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