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A052498
Number of nonsingular n X n matrices over GF(11).
5
1, 10, 13200, 2124276000, 41393302251840000, 97602635428252959312000000, 27847155251069188894843979022720000000, 961359275427083998992553051820498439890246400000000
OFFSET
0,2
LINKS
FORMULA
a(n) = (11^n - 1)*(11^n - 11)*...*(11^n - 11^(n-1)).
a(n) = A110195(n)*A027879(n). - Bruno Berselli, Jan 30 2013
MATHEMATICA
Table[Product[11^n - 11^k, {k, 0, n-1}], {n, 0, 10}] (* Vincenzo Librandi, Jan 28 2013 *)
PROG
(Magma) [1] cat [&*[(11^n - 11^k): k in [0..n-1]]: n in [1..10]]; // Bruno Berselli, Jan 28 2013
(PARI) {a(n) = prod(j=0, n-1, 11^n - 11^j)}; \\ G. C. Greubel, May 14 2019
(Sage) [product(11^n - 11^j for j in (0..n-1)) for n in (0..10)] # G. C. Greubel, May 14 2019
KEYWORD
nonn,easy
AUTHOR
Vladeta Jovovic, Mar 16 2000
STATUS
approved