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%I #4 Jun 15 2018 06:05:50
%S 1,8,23,107,537,2800,14652,77128,406622,2146188,11333438,59863786,
%T 316248100,1670789296,8827362224,46638933714,246416884814,
%U 1301950664178,6878911947762,36345074634940,192031153782354,1014607291471240
%N Number of nX3 0..1 arrays with every element unequal to 0, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
%C Column 3 of A305954.
%H R. H. Hardin, <a href="/A305949/b305949.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +7*a(n-2) -13*a(n-3) -88*a(n-4) -25*a(n-5) +177*a(n-6) +214*a(n-7) +73*a(n-8) -188*a(n-9) -194*a(n-10) -92*a(n-11) -26*a(n-12) -26*a(n-13) -18*a(n-14) +16*a(n-15) +8*a(n-16) for n>17
%e Some solutions for n=5
%e ..0..1..0. .0..0..1. .0..1..0. .0..1..1. .0..1..1. .0..1..0. .0..1..0
%e ..0..1..1. .1..1..0. .0..1..0. .0..1..1. .1..0..0. .1..1..0. .1..0..1
%e ..1..0..0. .0..1..1. .1..0..1. .0..0..0. .0..1..1. .0..1..1. .1..0..1
%e ..1..0..1. .0..0..1. .0..0..1. .1..0..1. .1..1..0. .1..0..1. .0..0..1
%e ..1..0..1. .1..1..0. .1..0..1. .0..1..0. .0..0..1. .0..1..0. .1..1..0
%Y Cf. A305954.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jun 15 2018
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