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%I #4 May 10 2018 09:11:13
%S 8,65,261,1137,4979,22089,98560,441950,1985853,8936025,40245259,
%T 181349063,817441187,3685379513,16617254516,74932039580,337905147089,
%U 1523819827721,6871941730432,30990572266213,139759818308246
%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.
%C Column 4 of A304310.
%H R. H. Hardin, <a href="/A304306/b304306.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -3*a(n-2) -12*a(n-3) -26*a(n-4) -3*a(n-5) +96*a(n-6) +29*a(n-7) +6*a(n-8) -19*a(n-9) +602*a(n-10) +260*a(n-11) -451*a(n-12) -1329*a(n-13) -2222*a(n-14) -1650*a(n-15) -4229*a(n-16) -4615*a(n-17) -5760*a(n-18) +12494*a(n-19) +28230*a(n-20) +42152*a(n-21) +30055*a(n-22) +16800*a(n-23) +11593*a(n-24) -15642*a(n-25) -80377*a(n-26) -215758*a(n-27) -220109*a(n-28) -142883*a(n-29) +45145*a(n-30) +97389*a(n-31) +272930*a(n-32) +318229*a(n-33) +310211*a(n-34) +161580*a(n-35) +30460*a(n-36) -101720*a(n-37) -220149*a(n-38) -232908*a(n-39) -139405*a(n-40) -23381*a(n-41) -9204*a(n-42) -1691*a(n-43) +13351*a(n-44) +14965*a(n-45) -2243*a(n-46) -10149*a(n-47) -6405*a(n-48) -8698*a(n-49) -12003*a(n-50) -5698*a(n-51) -606*a(n-52) -1472*a(n-53) -1446*a(n-54) -788*a(n-55) -96*a(n-56) +72*a(n-57) for n>59
%e Some solutions for n=5
%e ..0..0..0..0. .0..0..0..0. .0..0..1..0. .0..1..0..1. .0..1..1..1
%e ..0..0..0..1. .1..0..1..0. .1..1..0..1. .0..0..0..0. .1..1..1..1
%e ..0..0..0..0. .1..1..1..1. .1..1..1..0. .1..0..0..1. .0..1..0..1
%e ..0..0..0..0. .1..0..0..0. .1..1..1..0. .0..0..0..0. .0..0..0..0
%e ..0..0..1..0. .1..0..0..0. .0..0..0..0. .1..0..0..1. .0..0..0..1
%Y Cf. A304310.
%K nonn
%O 1,1
%A _R. H. Hardin_, May 10 2018
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