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%I #5 Mar 31 2012 12:36:27
%S 1,17,282,2923,35202,400368,4717086,54734117,637202902,7415237912,
%T 86331859442,1004805781910,11695057039086,136127743720180,
%U 1584471104135721,18442469973189797,214661809896066563
%N Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,3,1,0,4 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 1's, every 3 is next to 3 0's, every 4 is next to 4 4's
%C Column 5 of A196746
%H R. H. Hardin, <a href="/A196743/b196743.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 5*a(n-1) +48*a(n-2) +249*a(n-3) +1324*a(n-4) -1586*a(n-5) -18815*a(n-6) +32177*a(n-7) +4771*a(n-8) -194757*a(n-9) +586475*a(n-10) -3010930*a(n-11) +6176894*a(n-12) -7086487*a(n-13) +3340131*a(n-14) +21671410*a(n-15) -51362754*a(n-16) +44500623*a(n-17) -52452436*a(n-18) -6859361*a(n-19) +180019589*a(n-20) +96345357*a(n-21) -178528876*a(n-22) -363701837*a(n-23) +70048301*a(n-24) +235920388*a(n-25) +152374008*a(n-26) -114975636*a(n-27) -161293662*a(n-28) -11155380*a(n-29) +37779430*a(n-30) +67501360*a(n-31) +1111963*a(n-32) +2275519*a(n-33) -12978903*a(n-34) -1574352*a(n-35) -816909*a(n-36) +877186*a(n-37) +442458*a(n-38) -130096*a(n-39) -2273*a(n-40) +1417*a(n-41) -3117*a(n-42) +595*a(n-43) -14*a(n-44) +a(n-45) +6*a(n-46) -a(n-47)
%e Some solutions for n=4
%e ..0..0..3..0..0....0..0..3..0..0....0..3..0..0..0....0..0..0..0..0
%e ..0..0..0..1..0....0..0..0..0..3....0..0..0..0..0....1..3..0..1..0
%e ..0..0..0..3..0....3..0..0..0..0....0..0..0..0..0....0..0..0..3..0
%e ..0..3..0..0..0....0..3..0..0..0....0..3..0..3..0....0..0..0..0..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 06 2011
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