A302513 - OEIS

%I #4 Apr 09 2018 09:07:25

%S 13,13,52,80,199,458,1088,2651,6257,14765,35292,84261,200040,475278,

%T 1132373,2696179,6411133,15251746,36304757,86394322,205538228,

%U 489069395,1163851093,2769397039,6589505584,15679835445,37311095302,88781699786

%N Number of nX6 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A302515.

%H R. H. Hardin, <a href="/A302513/b302513.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +6*a(n-3) +5*a(n-4) +3*a(n-5) -8*a(n-6) -6*a(n-7) -3*a(n-8) for n>12

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302515.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2018