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%I #4 Feb 15 2018 14:52:43
%S 4,31,179,1080,6585,40023,243312,1479656,8997567,54712960,332705597,
%T 2023155240,12302638210,74811344202,454921691740,2766341737943,
%U 16821898891161,102292597556417,622032957080238,3782531767515293
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299668.
%H R. H. Hardin, <a href="/A299663/b299663.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +6*a(n-2) +10*a(n-3) -29*a(n-4) -59*a(n-5) -27*a(n-6) -46*a(n-7) +21*a(n-8) -8*a(n-9) +52*a(n-10) -16*a(n-11) for n>12
%e Some solutions for n=5
%e ..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..1. .0..1..0. .0..1..1
%e ..0..0..1. .0..1..0. .0..1..0. .0..1..0. .1..1..1. .0..0..0. .0..0..0
%e ..1..1..1. .0..0..0. .0..0..0. .1..1..1. .1..1..1. .0..0..0. .0..0..0
%e ..1..1..1. .0..0..0. .0..0..0. .1..1..1. .1..0..1. .1..0..1. .0..1..0
%e ..1..0..1. .0..1..0. .0..1..1. .1..0..1. .1..0..0. .0..0..0. .0..0..1
%Y Cf. A299668.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 15 2018
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