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%I #4 Jun 23 2018 12:50:36
%S 5,21,30,93,249,544,1372,3411,8269,20472,50397,123803,305272,751590,
%T 1849735,4556239,11219928,27625541,68032151,167535478,412552316,
%U 1015939459,2501834023,6160893450,15171602577,37361209577,92004521524
%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
%C Column 4 of A306172.
%H R. H. Hardin, <a href="/A306168/b306168.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +16*a(n-3) -26*a(n-4) -3*a(n-5) -103*a(n-6) +137*a(n-7) +32*a(n-8) +371*a(n-9) -406*a(n-10) -152*a(n-11) -915*a(n-12) +801*a(n-13) +422*a(n-14) +1710*a(n-15) -1092*a(n-16) -751*a(n-17) -2415*a(n-18) +1006*a(n-19) +977*a(n-20) +2609*a(n-21) -505*a(n-22) -986*a(n-23) -2180*a(n-24) -154*a(n-25) +630*a(n-26) +1281*a(n-27) +325*a(n-28) -267*a(n-29) -512*a(n-30) -276*a(n-31) -13*a(n-32) +49*a(n-33) +74*a(n-34) +52*a(n-35) +32*a(n-36) +11*a(n-37) -7*a(n-38) -6*a(n-39) -3*a(n-40) for n>41
%e Some solutions for n=5
%e ..0..1..1..1. .0..0..0..1. .0..0..0..1. .0..0..1..1. .0..1..1..1
%e ..1..1..1..1. .0..0..0..0. .0..0..1..1. .0..1..1..1. .1..1..1..1
%e ..1..1..1..1. .1..0..0..0. .0..0..0..0. .1..1..1..1. .1..1..1..1
%e ..0..1..1..1. .0..0..0..0. .0..0..0..1. .1..1..1..1. .1..1..1..1
%e ..1..1..1..1. .0..0..0..0. .0..0..1..1. .0..1..1..0. .1..1..1..1
%Y Cf. A306172.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 23 2018
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