%I #5 Mar 31 2012 12:36:28
%S 3,23,150,969,7172,50864,367813,2646379,19073997,137434440,990411767,
%T 7137038938,51431455178,370627617651,2670838531897,19246742767269,
%U 138696965305604,999485868248461,7202551374117304,51903431296093738
%N Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,2,1,0,0 for x=0,1,2,3,4
%C Every 0 is next to 0 2's, every 1 is next to 1 2's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 0's
%C Column 4 of A197180
%H R. H. Hardin, <a href="/A197176/b197176.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +14*a(n-2) +13*a(n-3) +51*a(n-4) -242*a(n-5) -605*a(n-6) -267*a(n-7) -603*a(n-8) +944*a(n-9) +6252*a(n-10) +4235*a(n-11) -16376*a(n-12) +13174*a(n-13) -2828*a(n-14) -4321*a(n-15) +13660*a(n-16) -66695*a(n-17) +105055*a(n-18) -21147*a(n-19) -55248*a(n-20) -32618*a(n-21) -36869*a(n-22) +32581*a(n-23) +112818*a(n-24) +91398*a(n-25) -191452*a(n-26) +22561*a(n-27) +9994*a(n-28) +74786*a(n-29) +25052*a(n-30) -106048*a(n-31) +43131*a(n-32) -47104*a(n-33) +18400*a(n-34) +18484*a(n-35) -37276*a(n-36) +21617*a(n-37) +10180*a(n-38) +3318*a(n-39) +287*a(n-40) -9682*a(n-41) +1636*a(n-42) +1408*a(n-43) -284*a(n-44) -8*a(n-45) -16*a(n-46)
%e Some solutions containing all values 0 to 4 for n=5
%e ..0..0..0..0....0..3..0..0....0..3..0..0....0..0..3..0....0..1..2..1
%e ..0..4..0..0....0..0..0..0....1..0..4..0....0..4..0..0....0..0..3..0
%e ..3..0..4..0....0..4..0..0....2..1..0..0....0..0..4..0....0..4..0..3
%e ..0..0..0..1....3..0..3..0....2..1..3..0....0..3..0..3....1..0..4..0
%e ..0..0..1..2....0..1..2..1....1..0..0..0....1..2..1..0....2..1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 11 2011