%I #4 Jun 02 2018 08:59:41

%S 2,33,27,65,195,125,268,1176,805,1681,7276,5844,10771,45897,42168,

%T 71400,291373,302289,481228,1860822,2143789,3279467,11940222,15053714,

%U 22494177,76946183,104796222,154849698,497855289,724251391,1067769212,3233541274

%N Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A305489.

%H R. H. Hardin, <a href="/A305485/b305485.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +4*a(n-3) -26*a(n-4) +29*a(n-6) +55*a(n-7) -18*a(n-8) -111*a(n-9) -15*a(n-10) +60*a(n-11) +72*a(n-12) -14*a(n-13) -36*a(n-14) -13*a(n-15) +5*a(n-16) +6*a(n-17) for n>22

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305489.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 02 2018