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%I #11 Jul 11 2013 15:14:21
%S 1,1,3,6,11,18,33,49,78,117,171,242,346,469,640,855,1127,1463,1896,
%T 2405,3045,3813,4736,5831,7156,8684,10507,12627,15092,17935,21249,
%U 25004,29341,34272,39875,46207,53407,61446,70528,80682,92026,104650,118752
%N Number of 3-rowed binary matrices with n ones and no zero columns, up to row and column permutation.
%C Number of 3 x n binary matrices with n ones up to row and column permutation.
%H Vladeta Jovovic, <a href="/A058053/a058053.gif">Expansion of generating function.</a>
%F a(n)= coefficient of x^n*y^n in expansion of 1 / 3!*(1 / (1 - x) / (1 - x*y)^3 / (1 - x*y^2)^3 / (1 - x*y^3) + 3 / (1 - x) / (1 - x*y) / (1 - x*y^2) / (1 - x*y^3) / (1 - x^2*y^2) / (1 - x^2*y^4) + 2 / (1 - x) / (1 - x*y^3) / (1 - x^3*y^3) / (1 - x^3*y^6)).
%F Empirical g.f.: -(x^8-x^7+x^6+x^4+x^2-x+1) / ((x-1)^7*(x+1)^3*(x^2-x+1)*(x^2+1)*(x^2+x+1)^3). - _Colin Barker_, Jul 11 2013
%Y Cf. A002727, A049311.
%K nonn
%O 0,3
%A _Vladeta Jovovic_, Nov 19 2000
%E a(21)-a(42) from _Max Alekseyev_, Jan 21 2010
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