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%I #4 Jul 18 2018 19:32:18
%S 8,65,400,2567,16048,101054,639838,4056201,25720439,163143336,
%T 1035036752,6567428128,41674232746,264459800134,1678275645857,
%U 10650595949724,67590981835505,428949463478468,2722231278601382,17276064752692821
%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 4 of A317011.
%H R. H. Hardin, <a href="/A317007/b317007.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) -14*a(n-2) +2*a(n-3) -142*a(n-4) +13*a(n-5) +312*a(n-6) +1024*a(n-7) +1722*a(n-8) +599*a(n-9) +178*a(n-10) -16830*a(n-11) -4440*a(n-12) -41055*a(n-13) -71540*a(n-14) +76484*a(n-15) -93690*a(n-16) +406514*a(n-17) +441136*a(n-18) +590146*a(n-19) +621772*a(n-20) +510598*a(n-21) -2981976*a(n-22) +405903*a(n-23) -5317896*a(n-24) -4468266*a(n-25) +1012868*a(n-26) -9416464*a(n-27) +8406357*a(n-28) -2922787*a(n-29) +20775062*a(n-30) +8271486*a(n-31) -7282380*a(n-32) +29780338*a(n-33) -17001742*a(n-34) -34766674*a(n-35) +32742601*a(n-36) -27892831*a(n-37) -6312799*a(n-38) +36022980*a(n-39) -9014846*a(n-40) +65856061*a(n-41) +48095510*a(n-42) -8036671*a(n-43) -29825341*a(n-44) +47705769*a(n-45) -39355385*a(n-46) -23359013*a(n-47) +18658942*a(n-48) -44840756*a(n-49) -9595032*a(n-50) +4859983*a(n-51) -2736914*a(n-52) +1126466*a(n-53) +292506*a(n-54) -1118664*a(n-55) +866208*a(n-56) +611680*a(n-57) for n>59
%e Some solutions for n=5
%e ..0..1..1..0. .0..1..1..0. .0..0..1..1. .0..1..1..1. .0..0..0..1
%e ..1..1..1..1. .0..0..1..0. .1..0..0..1. .1..1..0..1. .1..0..0..0
%e ..1..1..1..1. .0..0..0..0. .0..0..0..0. .1..0..1..0. .0..0..1..1
%e ..1..1..0..1. .1..1..0..0. .1..0..1..1. .0..0..1..0. .0..1..0..1
%e ..1..1..1..1. .1..0..0..1. .0..0..1..1. .1..1..0..0. .1..0..0..1
%Y Cf. A317011.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 18 2018
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