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%I #5 Mar 31 2012 12:36:26
%S 1,17,117,971,8781,63549,543386,4387171,35669727,291499339,2369674010,
%T 19309008083,157281534172,1280854062374,10433074844133,84973377328059,
%U 692089317826577,5636954496741421,45911687873344354,373941550763350063
%N Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,2,3,0,4 for x=0,1,2,3,4
%C Every 0 is next to 0 1's, every 1 is next to 1 2's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 4's
%C Column 5 of A196578
%H R. H. Hardin, <a href="/A196575/b196575.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 2*a(n-1) +28*a(n-2) +123*a(n-3) +269*a(n-4) +1189*a(n-5) +3000*a(n-6) +1041*a(n-7) -4132*a(n-8) -12552*a(n-9) -10882*a(n-10) +6150*a(n-11) -21874*a(n-12) -30959*a(n-13) +9437*a(n-14) +12613*a(n-15) +33539*a(n-16) +14333*a(n-17) -23148*a(n-18) +8355*a(n-19) -9358*a(n-20) +3114*a(n-21) -827*a(n-22) +345*a(n-23) +66*a(n-24) -2*a(n-25) +5*a(n-26)
%e Some solutions for n=4
%e ..0..3..0..0..0....0..3..0..3..0....0..3..0..3..0....0..3..0..0..0
%e ..0..0..2..3..0....0..0..0..0..0....3..0..3..0..0....0..0..3..0..0
%e ..0..0..3..0..3....0..3..2..3..0....0..0..3..0..0....0..0..3..0..0
%e ..0..0..0..3..0....0..0..0..0..0....0..0..0..0..0....0..0..0..3..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 04 2011
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