%I #4 Apr 06 2014 14:11:25
%S 8,81,578,4104,29084,205754,1455916,10304849,72937769,516249590,
%T 3653997013,25862854244,183056241833,1295664762145,9170663523390,
%U 64909590438320,459427491120642,3251809452014192,23016177558642426
%N Number of nX4 0..1 arrays with no element equal to more than two horizontal or vertical neighbors, with new values 0..1 introduced in row major order
%C Column 4 of A240484
%H R. H. Hardin, <a href="/A240480/b240480.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) +2*a(n-2) -7*a(n-3) -25*a(n-4) -6*a(n-5) +150*a(n-6) +12*a(n-7) -456*a(n-8) -134*a(n-9) +408*a(n-10) +116*a(n-11) -171*a(n-12) +73*a(n-13) +388*a(n-14) +87*a(n-15) -127*a(n-16) -168*a(n-17) -62*a(n-18) -12*a(n-19) +16*a(n-20) +8*a(n-21) +2*a(n-22)
%e Some solutions for n=4
%e ..0..0..1..0....0..1..0..0....0..1..1..1....0..1..1..0....0..0..1..0
%e ..1..0..1..0....1..0..1..1....0..1..0..0....1..0..1..0....1..1..0..1
%e ..1..0..1..1....1..1..0..1....1..0..0..1....0..1..0..1....1..1..0..1
%e ..1..0..0..1....0..1..1..1....1..0..1..1....1..0..1..0....0..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 06 2014