%I #12 Sep 22 2024 10:10:10
%S 1,5,17,42,91,180,328,565,930,1470,2248,3344,4849,6881,9579,13104,
%T 17649,23442,30736,39833,51074,64842,81574,101766,125959,154771,
%U 188883,229044,276085,330926,394558,468083,552696,649692,760482,886602,1029691,1191539,1374065,1579326
%N Number of 3 X n binary matrices with no zero rows or columns, up to row and column permutation.
%H Andrew Howroyd, <a href="/A055609/b055609.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (3, -1, -3, -1, 3, 6, -6, -3, 1, 3, 1, -3, 1).
%F G.f.: x*(x^8-x^7-x^6-2*x^5+2*x^4+x^3-3*x^2-2*x-1)/((x^3-1)^2*(x^2-1)^2*(x-1)^3).
%o (PARI) Vec((G(3, x) - G(2, x))*(1 - x) + O(x^30)) \\ G defined in A028657. - _Andrew Howroyd_, Feb 28 2023
%Y Column k=3 of A056152.
%Y Cf. A024206, A002623, A002727.
%K easy,nonn
%O 1,2
%A _Vladeta Jovovic_, Jun 03 2000
%E Terms a(37) and beyond from _Andrew Howroyd_, Mar 25 2020