A197175 - OEIS

%I #5 Mar 31 2012 12:36:28

%S 2,10,41,150,665,2695,11424,47528,199485,834267,3494391,14627589,

%T 61246810,256420026,1073586408,4494857066,18819026026,78791164317,

%U 329881701180,1381143529911,5782550639425,24210293846101,101363286240212

%N Number of nX3 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 3 of A197180

%H R. H. Hardin, <a href="/A197175/b197175.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 3*a(n-1) +6*a(n-2) -2*a(n-3) -5*a(n-4) -20*a(n-5) -4*a(n-6) +24*a(n-7) -4*a(n-8) -16*a(n-9) -3*a(n-10) +47*a(n-11) -24*a(n-12) -5*a(n-13) +3*a(n-14)

%e All solutions containing all values 0 to 4 for n=4

%e ..2..1..0....0..0..0....0..1..2....0..0..0

%e ..1..0..3....0..4..0....3..0..1....0..4..0

%e ..0..4..0....1..0..3....0..4..0....3..0..1

%e ..0..0..0....2..1..0....0..0..0....0..1..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 11 2011