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%I #5 Mar 31 2012 12:36:25
%S 8,34,49,168,481,1031,2781,7666,19581,50767,133067,347285,908050,
%T 2376097,6205040,16210548,42388933,110845205,289736000,757344081,
%U 1979883152,5176072691,13531879986,35376145849,92481993251,241773334844
%N Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,4,1,2 for x=0,1,2,3,4
%C Every 0 is next to 0 3's, every 1 is next to 1 0's, every 2 is next to 2 4's, every 3 is next to 3 1's, every 4 is next to 4 2's
%C Column 5 of A196146
%H R. H. Hardin, <a href="/A196143/b196143.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 5*a(n-1) -9*a(n-2) +12*a(n-3) -14*a(n-4) +5*a(n-5) +10*a(n-6) -69*a(n-7) +129*a(n-8) -145*a(n-9) +164*a(n-10) -196*a(n-11) +218*a(n-12) +394*a(n-13) -349*a(n-14) +295*a(n-15) -1023*a(n-16) +924*a(n-17) -298*a(n-18) +1097*a(n-19) -4595*a(n-20) -2208*a(n-21) +627*a(n-22) +2723*a(n-23) -690*a(n-24) -19588*a(n-25) +6132*a(n-26) +2659*a(n-27) +23034*a(n-28) +3305*a(n-29) +847*a(n-30) +42867*a(n-31) +37263*a(n-32) +85485*a(n-33) +47600*a(n-34) +98716*a(n-35) +83847*a(n-36) +39595*a(n-37) -5290*a(n-38) -194971*a(n-39) -247776*a(n-40) -380416*a(n-41) -386837*a(n-42) -332348*a(n-43) -375756*a(n-44) -286048*a(n-45) -312418*a(n-46) -286684*a(n-47) -274384*a(n-48) -251047*a(n-49) -167220*a(n-50) -126756*a(n-51) -65057*a(n-52) -32030*a(n-53) -7322*a(n-54) -100*a(n-55) +2812*a(n-56) +408*a(n-57) +568*a(n-58) -264*a(n-59) +32*a(n-61)
%e Some solutions for n=4
%e .1.0.0.0.0...0.1.1.0.1...1.0.1.1.1...1.1.1.1.1
%e .3.1.1.1.1...0.1.1.0.1...3.1.1.0.0...0.0.0.0.0
%e .1.3.3.1.3...0.1.1.0.1...1.1.1.0.0...0.0.0.0.0
%e .0.1.1.0.1...0.1.1.0.1...0.0.1.1.1...1.1.1.1.1
%K nonn
%O 1,1
%A _R. H. Hardin_ Sep 28 2011
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