%I #6 Apr 05 2020 23:25:35
%S 0,17,52,684,2128,34896,123541,1891998,7565509,106100847,470286934,
%T 6070072444,29342743563,352400491431,1833102380708,20699165970978,
%U 114576111229319,1227555854005393,7163217232141967,73387852919316000
%N Number of n X 3 0..1 arrays with the number of 1's king-move adjacent to some 0 two less than the number of 0's adjacent to some 1.
%C Column 3 of A286216.
%H R. H. Hardin, <a href="/A286211/b286211.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..1..0..0. .1..0..1. .0..1..1. .1..0..0. .1..1..0. .0..1..0. .0..0..1
%e ..0..1..0. .0..0..1. .1..0..0. .1..0..0. .1..0..0. .0..1..0. .0..0..0
%e ..0..1..1. .0..0..0. .1..0..0. .0..0..0. .0..0..0. .1..1..0. .0..0..1
%e ..0..0..1. .0..1..1. .0..1..0. .1..0..1. .1..0..0. .1..0..0. .1..1..0
%Y Cf. A286216.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 04 2017