%I #4 Apr 09 2014 18:51:19

%S 8,81,637,4989,38634,299329,2319211,17971509,139264013,1079178635,

%T 8362717691,64803934520,502175240181,3891429932618,30155264060461,

%U 233677585671980,1810802052546549,14032171994804298,108737368953561194

%N Number of nX4 0..1 arrays with no element equal to exactly three horizontal or vertical neighbors, with new values 0..1 introduced in row major order

%C Column 4 of A240636

%H R. H. Hardin, <a href="/A240632/b240632.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +7*a(n-2) -9*a(n-3) -3*a(n-4) +6*a(n-5) +11*a(n-6) +56*a(n-7) -211*a(n-8) -553*a(n-9) -266*a(n-10) +569*a(n-11) +514*a(n-12) +241*a(n-13) +672*a(n-14) +985*a(n-15) +518*a(n-16) +71*a(n-17) -161*a(n-18) -845*a(n-19) -670*a(n-20) -783*a(n-21) -620*a(n-22) -263*a(n-23) +134*a(n-24) +196*a(n-25) +238*a(n-26) +159*a(n-27) +70*a(n-28) +5*a(n-29) -14*a(n-30) -18*a(n-31) -8*a(n-32)

%e Some solutions for n=4

%e ..0..0..0..1....0..1..0..1....0..1..0..1....0..0..0..1....0..1..0..1

%e ..1..1..0..1....1..1..0..0....0..1..0..1....1..1..1..0....1..0..0..1

%e ..1..0..1..1....1..0..1..0....1..0..0..1....1..0..0..1....0..1..1..0

%e ..1..1..1..0....1..0..0..1....1..0..1..1....0..0..1..0....1..0..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2014