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%I #5 Mar 31 2012 12:36:26
%S 1,9,69,435,2862,18661,123151,806609,5276054,34627688,227088449,
%T 1488439691,9758458572,63980053571,419459699173,2750044671305,
%U 18029789774081,118205954690054,774976155585421,5080869712707658
%N Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,3,0,1,4 for x=0,1,2,3,4
%C Every 0 is next to 0 2'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 4's
%C Column 5 of A196493
%H R. H. Hardin, <a href="/A196490/b196490.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = a(n-1) +10*a(n-2) +86*a(n-3) +344*a(n-4) +1091*a(n-5) +2504*a(n-6) +2535*a(n-7) -6549*a(n-8) -26096*a(n-9) -5622*a(n-10) +86691*a(n-11) +125139*a(n-12) -19371*a(n-13) -237308*a(n-14) -210244*a(n-15) +157889*a(n-16) +489355*a(n-17) +281472*a(n-18) -304610*a(n-19) -602529*a(n-20) -368077*a(n-21) +142066*a(n-22) +365760*a(n-23) +141524*a(n-24) -24857*a(n-25) -96625*a(n-26) -26330*a(n-27) +27091*a(n-28) +2541*a(n-29) -5991*a(n-30) -4515*a(n-31) +1810*a(n-32) +2341*a(n-33) +186*a(n-34) -311*a(n-35) -119*a(n-36) -18*a(n-37) +4*a(n-39) +a(n-40)
%e Some solutions for n=4
%e ..1..3..1..0..0....0..0..0..0..0....1..3..1..0..0....0..1..1..3..1
%e ..1..1..0..1..0....0..1..0..0..1....1..1..0..1..0....1..3..1..1..0
%e ..3..1..1..3..0....0..3..1..1..3....3..1..0..3..1....1..3..1..0..0
%e ..1..0..0..1..0....0..1..0..0..1....1..0..0..1..0....0..1..0..0..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 03 2011
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