A305525 - OEIS

%I #4 Jun 04 2018 12:01:58

%S 4,30,161,880,4779,26000,141474,769617,4187055,22779608,123930190,

%T 674233423,3668120119,19956134787,108569904387,590666693724,

%U 3213479157579,17482699850936,95113358094319,517457311408764

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

%C Column 3 of A305530.

%H R. H. Hardin, <a href="/A305525/b305525.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +2*a(n-2) +10*a(n-3) -44*a(n-4) +4*a(n-5) +18*a(n-6) +2*a(n-7) -26*a(n-8) -27*a(n-9) -12*a(n-10) -3*a(n-11)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305530.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 04 2018