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%I #4 Feb 17 2018 10:38:49
%S 1,42,246,2545,23877,242107,2501312,26078075,273889895,2882907875,
%T 30394399694,320657578263,3384095560949,35720637784327,
%U 377078563204650,3980732189348259,42024536489585919,443657010445417107
%N Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
%C Column 4 of A299721.
%H R. H. Hardin, <a href="/A299717/b299717.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) +44*a(n-2) -186*a(n-3) -1221*a(n-4) +156*a(n-5) +9699*a(n-6) +14960*a(n-7) -15407*a(n-8) -46797*a(n-9) -1187*a(n-10) +28697*a(n-11) -25428*a(n-12) -18867*a(n-13) +67794*a(n-14) +66617*a(n-15) -8752*a(n-16) -51730*a(n-17) +42893*a(n-18) +63252*a(n-19) -140416*a(n-20) +57616*a(n-21) +57477*a(n-22) -80074*a(n-23) +26843*a(n-24) +12625*a(n-25) -17270*a(n-26) +4134*a(n-27) +2224*a(n-28) -600*a(n-29) for n>30
%e Some solutions for n=5
%e ..0..1..1..1. .0..0..1..1. .0..0..0..0. .0..1..0..0. .0..0..1..0
%e ..0..0..1..1. .0..0..0..1. .0..0..0..0. .0..0..0..0. .1..0..0..0
%e ..0..1..1..1. .0..0..0..0. .0..0..1..0. .0..0..0..0. .0..0..0..0
%e ..0..0..0..1. .1..0..1..1. .1..1..0..1. .1..0..0..1. .0..0..1..1
%e ..0..1..0..0. .0..0..1..0. .1..1..1..1. .1..1..0..0. .0..0..1..0
%Y Cf. A299721.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 17 2018
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