%I
%S 1,7,12,31,79,186,465,1131,2776,6803,16663,40842,100065,245207,600844,
%T 1472287,3607663,8840098,21661545,53078827,130062864,318702387,
%U 780939327,1913591746,4689011265,11489821079,28154333788,68988586095,169047687279
%N Number of n X 2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,0,1,2 for x=0,1,2,3,4.
%C Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 2's.
%C Column 2 of A197235.
%H R. H. Hardin, <a href="/A197229/b197229.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = a(n1) +3*a(n2) +2*a(n3) a(n4) a(n5) a(n6).
%F Empirical g.f.: x*(1 + 6*x + 2*x^2  4*x^3  x^4  2*x^5) / (1  x  3*x^2  2*x^3 + x^4 + x^5 + x^6).  _Colin Barker_, Feb 18 2018
%e Some solutions for n=4:
%e ..0..2....0..0....0..0....0..0....2..0....0..2....2..0....0..0....0..1....0..0
%e ..0..0....0..2....2..2....0..0....0..0....0..0....0..2....0..1....1..3....0..0
%e ..0..0....0..2....0..0....0..0....2..2....0..0....0..2....1..3....0..1....0..0
%e ..0..0....0..0....0..2....2..0....0..0....2..0....2..0....0..1....0..0....0..2
%K nonn
%O 1,2
%A _R. H. Hardin_, Oct 12 2011
