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%I #6 Apr 25 2023 13:06:43
%S 1,7,6,18,30,87,200,522,1421,3805,10578,29465,82498,232593,656577,
%T 1858073,5265011,14930674,42368708,120274026,341518697,969915776,
%U 2754886812,7825418473,22229715609,63150286472,179401787689,509665128216
%N Number of n X 3 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A298382.
%H R. H. Hardin, <a href="/A298377/b298377.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +3*a(n-2) -6*a(n-3) -16*a(n-4) +6*a(n-5) +23*a(n-6) +16*a(n-7) -13*a(n-8) -40*a(n-9) -50*a(n-10) +14*a(n-11) +106*a(n-12) +53*a(n-13) -18*a(n-14) -38*a(n-15) -34*a(n-16) -8*a(n-17) for n>18.
%e Some solutions for n=7
%e ..0..0..0. .0..0..1. .0..1..1. .0..1..0. .0..0..0. .0..1..0. .0..0..0
%e ..1..0..1. .0..1..1. .1..1..0. .0..0..0. .0..0..0. .0..0..0. .1..0..1
%e ..1..1..1. .0..1..0. .0..1..1. .0..1..0. .1..1..1. .0..1..0. .1..1..1
%e ..1..0..1. .0..0..0. .1..1..0. .1..1..0. .0..1..0. .1..1..0. .1..0..1
%e ..0..1..0. .0..1..0. .0..0..0. .0..1..0. .1..1..1. .0..1..0. .1..0..0
%e ..0..0..0. .0..1..1. .0..1..0. .0..0..0. .1..0..1. .0..0..0. .1..1..1
%e ..0..1..0. .0..0..1. .1..1..1. .1..0..1. .0..0..0. .0..1..0. .1..0..1
%Y Cf. A298382.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 18 2018
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