A317155 - OEIS

%I #4 Jul 22 2018 15:52:44

%S 3,9,14,29,73,165,394,1068,3018,8840,27026,84994,270787,872634,

%T 2836018,9247013,30224317,98998110,324515834,1064292227,3492203429,

%U 11460903801,37616725965,123478685661,405342852398,1330642249789,4368286232516

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317160.

%H R. H. Hardin, <a href="/A317155/b317155.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +a(n-2) +9*a(n-3) -24*a(n-4) -25*a(n-5) +9*a(n-6) -3*a(n-7) +49*a(n-8) +17*a(n-9) +122*a(n-10) +28*a(n-11) -244*a(n-12) -106*a(n-13) +175*a(n-14) +40*a(n-15) -48*a(n-16) -2*a(n-17) +4*a(n-18) for n>20

%e Some solutions for n=5

%e ..0..0..1. .0..0..1. .0..1..0. .0..0..0. .0..0..0. .0..1..1. .0..0..0

%e ..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .1..1..1. .0..1..0

%e ..0..0..0. .0..1..1. .0..0..0. .0..0..0. .0..0..0. .1..1..1. .0..0..0

%e ..0..0..1. .0..0..0. .0..0..0. .0..0..0. .1..0..0. .1..1..1. .0..0..0

%e ..0..0..0. .0..0..1. .1..0..0. .0..1..0. .0..0..0. .1..0..1. .0..1..0

%Y Cf. A317160.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 22 2018