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%I #5 Mar 31 2012 12:36:30
%S 1,9,53,181,967,4447,20411,99367,473509,2249979,10740561,51245685,
%T 244406613,1165674879,5559988993,26520385505,126494970513,
%U 603345410731,2877810161871,13726438785461,65471603280973,312282907797439
%N Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,3,1,1,0 for x=0,1,2,3,4
%C Every 0 is next to 0 2's, every 1 is next to 1 3's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 0's
%C Column 4 of A197503
%H R. H. Hardin, <a href="/A197499/b197499.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +6*a(n-2) +32*a(n-3) +27*a(n-4) -9*a(n-5) -247*a(n-6) -328*a(n-7) -85*a(n-8) +728*a(n-9) +737*a(n-10) -15*a(n-11) -1292*a(n-12) -269*a(n-13) +454*a(n-14) +1157*a(n-15) -718*a(n-16) -314*a(n-17) -196*a(n-18) +2441*a(n-19) +3336*a(n-20) +415*a(n-21) -2431*a(n-22) -4715*a(n-23) -1425*a(n-24) -713*a(n-25) +460*a(n-26) +312*a(n-27) +210*a(n-28) -799*a(n-29) +249*a(n-30) -50*a(n-31) -545*a(n-32) -486*a(n-33) +88*a(n-34) +252*a(n-35) +204*a(n-36) +152*a(n-37) +64*a(n-38) +25*a(n-39) +27*a(n-40) +19*a(n-41) +2*a(n-42) -a(n-43)
%e Some solutions containing all values 0 to 4 for n=5
%e ..0..0..0..0....0..0..1..2....0..0..0..0....0..0..0..0....0..0..0..0
%e ..1..0..4..0....1..1..3..1....1..0..4..0....0..4..0..0....0..0..4..0
%e ..3..1..0..0....3..1..0..0....3..1..0..0....0..0..1..0....1..0..0..1
%e ..1..0..1..0....1..0..4..0....1..1..3..1....0..0..3..1....3..1..1..3
%e ..2..1..3..1....0..0..0..0....0..0..1..2....0..0..1..2....1..2..2..1
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 15 2011
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