%I #8 May 10 2013 12:44:30
%S 1,2,15,69,288,840,2144,4488,8317,13160,18636,23078,25856,25623,23187,
%T 18713,13932,9288,5816,3256,1767,858,419,180,88,34,16,6,3,1,1
%N Number of 6x6 binary matrices with n ones, with no zero rows or columns, up to row and column permutation.
%C Sum_{k=0..36} a(n)=A054976(6).
%F G.f. : Z(S_6 X S_6; x_1, x_2, ...)-2*Z(S_6 X S_5; x_1, x_2, ...)+Z(S_5 X S_5; x_1, x_2, ...) if we replace x_i by 1+x^i, where Z(S_i X S_j; x_1, x_2, ...) is cycle index of Cartesian product of symmetric groups S_i and S_j of degree i and j, respectively.
%Y Cf. A052370.
%K fini,full,nonn
%O 6,2
%A _Vladeta Jovovic_, Aug 04 2000