%I #9 Apr 14 2018 08:20:28
%S 76,544,3360,21968,140816,909520,5858896,37779664,243525712,
%T 1569965008,10120785744,65244856016,420606054992,2711476238800,
%U 17479769838928,112684908266704,726433311008848,4683017326649296,30189489673849680
%N Number of (n+1) X 4 binary arrays with every 2 X 2 subblock singular
%C Column 3 of A184686.
%H R. H. Hardin, <a href="/A184680/b184680.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 7*a(n-1) + 2*a(n-2) - 40*a(n-3) + 24*a(n-4) + 16*a(n-5).
%F Empirical g.f.: 4*x*(19 + 3*x - 150*x^2 + 100*x^3 + 64*x^4) / ((1 - 2*x)*(1 - 5*x - 12*x^2 + 16*x^3 + 8*x^4)). - _Colin Barker_, Apr 14 2018
%e Some solutions for 3 X 4:
%e ..0..0..0..0....0..0..0..0....1..0..1..0....0..0..0..0....0..0..1..0
%e ..1..1..0..0....1..0..0..0....0..0..0..0....0..1..0..0....0..0..0..0
%e ..1..1..0..1....0..0..1..1....0..0..0..0....0..1..0..0....0..1..0..0
%Y Cf. A184686.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 19 2011
|