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Singular n X n matrices over GF(4).
2

%I #11 Jul 03 2018 02:26:09

%S 1,76,80704,1333866496,350423140532224,1470575268235571101696,

%T 98701955014599602193609785344,

%U 105983992373769699116787162453121171456,1820806479557691387021584007269972378727328251904

%N Singular n X n matrices over GF(4).

%H Harry J. Smith, <a href="/A060716/b060716.txt">Table of n, a(n) for n = 1..40</a>

%F For n >= 1, a(n) = 4^(n^2) - A053291(n) = 4^(n^2) - (4^n - 1)*(4^n - 4)*...*(4^n - 4^(n-1)).

%p for n from 1 to 15 do printf(`%d,`, 4^(n^2) - product(4^n-4^j, j=0..n-1)) od:

%o (PARI) a(n)={4^(n^2) - prod(j=0, n - 1, 4^n - 4^j)} \\ _Harry J. Smith_, Jul 10 2009

%Y Cf. A053291.

%K nonn

%O 1,2

%A Avi Peretz (njk(AT)netvision.net.il), Apr 21 2001

%E More terms from _James A. Sellers_, Apr 24 2001