A317512 - OEIS

%I #4 Jul 30 2018 11:27:55

%S 4,32,255,2032,16193,129042,1028335,8194796,65304285,520409494,

%T 4147140443,33048539760,263363634601,2098743379706,16724874641607,

%U 133280435560756,1062111070122677,8463957373270302,67449230529404275

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317517.

%H R. H. Hardin, <a href="/A317512/b317512.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -a(n-2) +6*a(n-3)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317517.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 30 2018