%I #4 Jul 07 2018 08:32:19
%S 1,23,63,338,1312,5936,25271,110555,478290,2079671,9022567,39184505,
%T 170094043,738520371,3206190960,13919960703,60433331958,262373351014,
%U 1139097162102,4945415596141,21470609436976,93215075154612
%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A316583.
%H R. H. Hardin, <a href="/A316578/b316578.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +13*a(n-2) +12*a(n-3) -18*a(n-4) -27*a(n-5) +4*a(n-6) +19*a(n-7) +31*a(n-8) -3*a(n-10) -3*a(n-11) -14*a(n-12) -6*a(n-14) +4*a(n-15) for n>16
%e Some solutions for n=5
%e ..0..0..0. .0..1..0. .0..1..0. .0..1..1. .0..0..1. .0..1..1. .0..1..1
%e ..0..1..0. .0..1..1. .1..0..1. .0..1..0. .0..1..1. .0..0..0. .1..0..0
%e ..1..0..0. .1..1..1. .0..1..0. .1..0..1. .1..1..0. .0..1..0. .1..0..0
%e ..1..0..0. .1..0..1. .1..0..1. .0..0..0. .1..0..1. .1..0..0. .0..0..1
%e ..0..0..1. .0..1..1. .1..0..0. .0..1..1. .0..0..0. .0..1..1. .1..0..1
%Y Cf. A316583.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jul 07 2018
|