%I #6 Mar 17 2023 01:19:28
%S 1,7,5,9,15,16,33,57,62,133,231,256,549,953,1074,2281,3951,4524,9497,
%T 16409,19078,39581,68215,80488,165085,283801,339658,688993,1181567,
%U 1433652,2877361,4922681,6052414,12023669,20522759,25555920,50272981
%N Number of n X 3 0..1 arrays with every element unequal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A304141.
%H R. H. Hardin, <a href="/A304136/b304136.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-2) +5*a(n-3) -5*a(n-4) -5*a(n-5) -4*a(n-6) +4*a(n-7) +4*a(n-8) for n>10.
%e Some solutions for n=5
%e ..0..1..0. .0..0..0. .0..0..1. .0..1..0. .0..0..0. .0..1..0. .0..0..0
%e ..1..1..0. .1..1..1. .0..0..1. .1..0..1. .0..0..0. .1..0..1. .0..0..0
%e ..0..0..0. .1..1..1. .0..0..1. .1..1..1. .0..0..0. .1..1..1. .0..0..0
%e ..0..1..0. .1..1..1. .0..0..1. .1..0..1. .1..1..1. .0..0..1. .0..0..0
%e ..1..0..1. .1..1..1. .0..0..1. .0..1..0. .1..1..1. .1..0..1. .0..0..0
%Y Cf. A304141.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 07 2018