A317067 - OEIS

%I #4 Jul 20 2018 13:38:22

%S 1,25,153,1161,8529,62866,463269,3413985,25158651,185401644,

%T 1366280170,10068527242,74197988927,546787174384,4029438241977,

%U 29694135683202,218824967904159,1612586643003039,11883633326206072,87574048591105435

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317072.

%H R. H. Hardin, <a href="/A317067/b317067.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +9*a(n-2) +8*a(n-3) +a(n-4) -5*a(n-5) -2*a(n-6) -a(n-7) -a(n-8)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317072.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 20 2018