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%I #4 Feb 12 2018 20:23:01
%S 0,6,31,220,2034,17565,160089,1456436,13302816,121652326,1112865108,
%T 10182885689,93181023707,852706356608,7803285220578,71409806459026,
%U 653490536943175,5980275180936940,54727198227817023,500824234677257132
%N Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 4 of A299554.
%H R. H. Hardin, <a href="/A299550/b299550.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) +25*a(n-2) -192*a(n-3) -422*a(n-4) +1520*a(n-5) +3746*a(n-6) -5878*a(n-7) -14143*a(n-8) +10086*a(n-9) +25736*a(n-10) -9714*a(n-11) -23623*a(n-12) +28162*a(n-13) -20177*a(n-14) -78514*a(n-15) +74384*a(n-16) -3735*a(n-17) +61742*a(n-18) -245675*a(n-19) +588540*a(n-20) -584889*a(n-21) +393834*a(n-22) -83403*a(n-23) -420316*a(n-24) +666471*a(n-25) -659704*a(n-26) +484095*a(n-27) -167364*a(n-28) -56108*a(n-29) +130154*a(n-30) -58937*a(n-31) +40791*a(n-32) -21746*a(n-33) -467*a(n-34) -3163*a(n-35) +3110*a(n-36) -492*a(n-37) for n>38
%e Some solutions for n=5
%e ..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0
%e ..0..1..1..1. .1..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0
%e ..0..0..0..0. .1..1..1..1. .0..0..0..0. .1..1..1..1. .0..0..0..0
%e ..0..0..0..0. .1..1..1..1. .1..1..0..1. .1..1..1..1. .0..1..1..1
%e ..0..0..0..0. .1..1..1..1. .1..1..1..1. .1..1..1..1. .0..0..1..1
%Y Cf. A299554.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 12 2018
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