A317217 - OEIS

%I #4 Jul 23 2018 19:46:46

%S 1,25,133,929,6134,40873,272012,1810626,12051365,80215518,533919483,

%T 3553810073,23654434010,157445726657,1047970872960,6975374721128,

%U 46428630555399,309032535648912,2056944323309905,13691179605401845

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317222.

%H R. H. Hardin, <a href="/A317217/b317217.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +18*a(n-2) +12*a(n-3) -68*a(n-4) -154*a(n-5) -120*a(n-6) -66*a(n-7) -43*a(n-8) -12*a(n-9) for n>10

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317222.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 23 2018