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%I #5 Mar 31 2012 12:36:25
%S 0,0,1,8,39,60,111,343,861,2115,5016,13734,35912,82715,202744,522390,
%T 1333539,3288827,8106150,20528101,51563620,128020497,319184841,
%U 801237793,2009081101,5009247370,12506463250,31323071350,78380580569,195823809542
%N Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,3,2,1,4 for x=0,1,2,3,4
%C Every 0 is next to 0 0's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 4's
%C Column 4 of A196078
%H R. H. Hardin, <a href="/A196074/b196074.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = a(n-2) +4*a(n-3) +14*a(n-4) +23*a(n-5) -2*a(n-6) +24*a(n-7) +44*a(n-8) -133*a(n-9) -186*a(n-10) -317*a(n-11) -363*a(n-12) +372*a(n-13) +825*a(n-14) -50*a(n-15) -513*a(n-16) +173*a(n-17) +42*a(n-18) +441*a(n-19) +835*a(n-20) +563*a(n-21) +336*a(n-22) -1995*a(n-23) -4044*a(n-24) -1095*a(n-25) +4154*a(n-26) +1656*a(n-27) -395*a(n-28) +3391*a(n-29) -709*a(n-30) -3210*a(n-31) -1608*a(n-32) -2382*a(n-33) -47*a(n-34) -219*a(n-35) +91*a(n-36) +1032*a(n-37)
%e Some solutions for n=5
%e ..0..1..3..1....1..0..2..2....2..2..2..0....2..2..0..1....0..2..2..2
%e ..1..0..1..1....3..1..2..2....2..1..2..2....2..2..1..3....2..2..1..2
%e ..3..1..1..3....1..1..1..0....2..3..1..2....0..1..0..1....2..1..3..2
%e ..1..0..1..1....1..3..3..1....2..1..2..2....1..3..2..2....2..0..1..2
%e ..0..1..3..1....0..1..1..0....2..2..2..0....0..1..2..2....2..2..2..2
%K nonn
%O 1,4
%A _R. H. Hardin_ Sep 27 2011
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