A304228 - OEIS

%I #4 May 08 2018 11:05:46

%S 32,13,16,46,89,306,1047,2561,7117,22405,61758,171188,506407,1443870,

%T 4062403,11720400,33602232,95454370,273283613,782856603,2233286246,

%U 6382670544,18262055338,52173909746,149087991997,426291895548

%N Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 7 king-move adjacent elements, with upper left element zero.

%C Column 6 of A304230.

%H R. H. Hardin, <a href="/A304228/b304228.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +14*a(n-3) +a(n-4) -5*a(n-5) -33*a(n-6) -3*a(n-7) +5*a(n-8) +9*a(n-9) +3*a(n-11) +5*a(n-12) for n>18

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304230.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 08 2018