%I #5 Mar 31 2012 12:36:26
%S 1,10,62,327,1927,10708,61040,344949,1953280,11058838,62603964,
%T 354440028,2006561317,11359957121,64312714711,364097413550,
%U 2061286075359,11669680495150,66066258785133,374024808089191,2117488804412111
%N Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,2,0,4 for x=0,1,2,3,4
%C Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 4's
%C Column 4 of A196636
%H R. H. Hardin, <a href="/A196632/b196632.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 5*a(n-1) +3*a(n-2) +11*a(n-3) -7*a(n-4) -152*a(n-5) -246*a(n-6) +567*a(n-7) -29*a(n-8) +56*a(n-9) -254*a(n-10) +605*a(n-11) -634*a(n-12) -182*a(n-13) -31*a(n-14) -76*a(n-15) -17*a(n-16) +49*a(n-17) +203*a(n-18) -49*a(n-19) +21*a(n-20) -17*a(n-21) -7*a(n-22) -2*a(n-24)
%e Some solutions for n=5
%e ..0..0..0..0....2..2..2..0....0..2..2..0....0..0..0..0....2..2..0..0
%e ..0..0..0..0....2..0..2..0....0..2..2..0....2..2..0..0....2..2..3..0
%e ..3..0..2..2....2..2..2..0....0..3..0..3....2..2..0..0....0..0..0..3
%e ..0..0..2..2....0..3..0..0....0..0..0..0....0..0..0..3....0..3..3..0
%e ..0..0..0..0....0..0..0..0....0..3..0..0....0..3..0..0....0..0..0..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 04 2011