A060705 - OEIS

%I #11 Jul 03 2018 02:25:40

%S 1,33,8451,18785601,371722135203,65965023738046161,

%T 105230885027939446251843,1510241390481066772867454516481,

%U 195045439041853604357302110432234667203

%N Singular n X n matrices over GF(3).

%H Harry J. Smith, <a href="/A060705/b060705.txt">Table of n, a(n) for n = 1..45</a>

%F For n >= 1, a(n) = 3^(n^2) - A053290(n) = 3^(n^2) - (3^n - 1)*(3^n - 3)*...*(3^n - 3^(n-1)).

%p for n from 1 to 20 do printf(`%d,`,3^(n^2) - product(3^n - 3^j, j=0..n-1)) od:

%o (PARI) a(n)={3^(n^2) - prod(j=0, n-1, 3^n - 3^j)} \\ _Harry J. Smith_, Jul 09 2009

%Y Cf. A053290.

%K nonn

%O 1,2

%A Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 20 2001

%E More terms from _James A. Sellers_, Apr 23 2001