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%I #5 Mar 31 2012 12:36:25
%S 5,17,50,335,882,2998,13533,57281,234589,894628,3478771,13926862,
%T 56524150,227694275,905576485,3600687113,14386585452,57666400761,
%U 231012630142,923586956312,3690101366699,14752678317193,59020611073703
%N Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,3,1,4 for x=0,1,2,3,4
%C Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 3's, every 3 is next to 3 1's, every 4 is next to 4 4's
%C Column 4 of A196287
%H R. H. Hardin, <a href="/A196283/b196283.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 5*a(n-1) -4*a(n-2) -2*a(n-3) +29*a(n-4) +44*a(n-5) -353*a(n-6) -513*a(n-7) -564*a(n-8) -404*a(n-9) -28*a(n-10) -7593*a(n-11) +32939*a(n-12) +92755*a(n-13) +177932*a(n-14) +364932*a(n-15) +661674*a(n-16) -124416*a(n-17) -2070255*a(n-18) -6293067*a(n-19) -15286543*a(n-20) -12728809*a(n-21) -20872271*a(n-22) -26587548*a(n-23) +11637631*a(n-24) +10476672*a(n-25) +2138237*a(n-26) -1529115*a(n-27) -3134481*a(n-28) -1326559*a(n-29) +5371940*a(n-30) +1569922*a(n-31) +214244*a(n-32) +279752*a(n-33) -533526*a(n-34) -150688*a(n-35) -65558*a(n-36) -44908*a(n-37) -8124*a(n-38) -2360*a(n-39) -720*a(n-40)
%e Some solutions for n=5
%e ..1..0..1..1....1..3..1..0....0..1..1..0....1..1..0..0....1..1..0..1
%e ..1..3..1..0....0..1..3..0....0..1..1..0....0..1..1..1....0..1..3..1
%e ..0..1..1..0....0..3..1..0....0..1..3..1....1..3..3..1....0..1..1..0
%e ..0..1..3..0....0..1..1..1....0..1..3..1....1..1..1..0....1..1..1..1
%e ..0..1..1..0....1..1..0..1....1..3..1..0....0..0..1..1....1..0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Sep 30 2011
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