A305084 - OEIS

%I #4 May 25 2018 08:16:51

%S 1,14,22,34,182,438,920,3431,9510,23203,71980,207896,548764,1589150,

%T 4583355,12584286,35647621,101918420,284776152,802405630,2278924650,

%U 6411920377,18060406770,51105607469,144130596082,406239439148

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

%C Column 3 of A305089.

%H R. H. Hardin, <a href="/A305084/b305084.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +12*a(n-3) -2*a(n-4) -36*a(n-5) -26*a(n-6) +9*a(n-7) +47*a(n-8) +11*a(n-9) +6*a(n-10) -2*a(n-11) -4*a(n-12) -16*a(n-13) -8*a(n-14) for n>16

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305089.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 25 2018