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%I #4 Jul 19 2018 19:30:40
%S 8,28,82,354,1718,7523,33798,153703,700615,3182971,14501028,66218594,
%T 302024137,1378726299,6297606271,28758102887,131363006085,
%U 600132606903,2741576694529,12525540090248,57227838857461,261466316314962
%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 4 of A317036.
%H R. H. Hardin, <a href="/A317032/b317032.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +4*a(n-2) +29*a(n-3) -275*a(n-4) -194*a(n-5) +70*a(n-6) +5359*a(n-7) +5000*a(n-8) -8044*a(n-9) -53898*a(n-10) -62665*a(n-11) +74363*a(n-12) +300836*a(n-13) +383300*a(n-14) -219460*a(n-15) -755823*a(n-16) -828976*a(n-17) +57634*a(n-18) -128498*a(n-19) -2438834*a(n-20) -693356*a(n-21) +4783474*a(n-22) +12417619*a(n-23) +4423012*a(n-24) -7638961*a(n-25) -343603*a(n-26) -4906149*a(n-27) -13991493*a(n-28) -18484152*a(n-29) +354290*a(n-30) +17937031*a(n-31) -3478443*a(n-32) -7344862*a(n-33) +7904399*a(n-34) +23136041*a(n-35) -13069666*a(n-36) -42757687*a(n-37) +3052643*a(n-38) +23773840*a(n-39) +23349301*a(n-40) +1173368*a(n-41) -6977865*a(n-42) -24048458*a(n-43) -36030973*a(n-44) +75111982*a(n-45) +126040017*a(n-46) +55386631*a(n-47) -9613949*a(n-48) -23224552*a(n-49) -18171439*a(n-50) -24171438*a(n-51) -9934266*a(n-52) +5945861*a(n-53) +6823576*a(n-54) +1499075*a(n-55) -2157679*a(n-56) +77860*a(n-57) +893292*a(n-58) -8649*a(n-59) -206808*a(n-60) -167806*a(n-61) -608*a(n-62) +29358*a(n-63) +4308*a(n-64) -240*a(n-65) for n>67
%e Some solutions for n=5
%e ..0..0..1..1. .0..1..1..1. .0..0..0..0. .0..0..1..0. .0..0..0..0
%e ..0..0..0..0. .0..0..0..1. .1..1..0..0. .1..0..0..1. .0..0..0..0
%e ..1..0..0..0. .1..0..1..1. .1..1..1..1. .1..0..1..1. .1..0..0..1
%e ..0..0..0..0. .0..1..1..0. .1..1..1..1. .1..1..1..0. .0..0..0..0
%e ..0..0..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1. .0..0..1..0
%Y Cf. A317036.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 19 2018
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