%I #4 Jan 13 2017 07:16:35

%S 0,2,96,532,2321,8886,31700,108034,357542,1158596,3694697,11633400,

%T 36255175,112035020,343760934,1048431286,3181035325,9608044744,

%U 28905403029,86656025654,258976361436,771797361724,2294287282225

%N Number of nX3 0..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 3 of A281034.

%H R. H. Hardin, <a href="/A281029/b281029.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -11*a(n-2) +4*a(n-3) +19*a(n-4) -46*a(n-5) +23*a(n-6) +4*a(n-7) -59*a(n-8) +26*a(n-9) -37*a(n-10) -20*a(n-11) +4*a(n-12) -36*a(n-13) -8*a(n-15) -8*a(n-16) -4*a(n-18) for n>21

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281034.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 13 2017