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%I #19 Sep 08 2022 08:44:59
%S 1,10,13200,2124276000,41393302251840000,97602635428252959312000000,
%T 27847155251069188894843979022720000000,
%U 961359275427083998992553051820498439890246400000000
%N Number of nonsingular n X n matrices over GF(11).
%H Vincenzo Librandi, <a href="/A052498/b052498.txt">Table of n, a(n) for n = 0..30</a>
%F a(n) = (11^n - 1)*(11^n - 11)*...*(11^n - 11^(n-1)).
%F a(n) = A110195(n)*A027879(n). - _Bruno Berselli_, Jan 30 2013
%t Table[Product[11^n - 11^k, {k, 0, n-1}], {n, 0, 10}] (* _Vincenzo Librandi_, Jan 28 2013 *)
%o (Magma) [1] cat [&*[(11^n - 11^k): k in [0..n-1]]: n in [1..10]]; // _Bruno Berselli_, Jan 28 2013
%o (PARI) {a(n) = prod(j=0,n-1, 11^n - 11^j)}; \\ _G. C. Greubel_, May 14 2019
%o (Sage) [product(11^n - 11^j for j in (0..n-1)) for n in (0..10)] # _G. C. Greubel_, May 14 2019
%Y Cf. A027879, A110195.
%Y Cf. A002884, A053290, A053291, A053292, A053293, A052496, A052497.
%K nonn,easy
%O 0,2
%A _Vladeta Jovovic_, Mar 16 2000
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