|
%I #5 Mar 31 2012 12:36:30
%S 1,7,69,289,2131,12071,74637,454685,2748523,16739531,101635341,
%T 617647081,3752641091,22798729927,138527481045,841658638245,
%U 5113753205699,31070163145411,188776416736109,1146970428535417,6968770713230523
%N Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,4,1,0,1 for x=0,1,2,3,4
%C Every 0 is next to 0 4's, every 1 is next to 1 4's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 1's
%C Column 4 of A197529
%H R. H. Hardin, <a href="/A197525/b197525.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +13*a(n-2) +43*a(n-3) +154*a(n-4) +234*a(n-5) -531*a(n-6) -1297*a(n-7) +893*a(n-8) +114*a(n-9) -452*a(n-10) +356*a(n-11) -68*a(n-12)
%e Some solutions containing all values 0 to 4 for n=5
%e ..0..0..3..0....2..1..2..0....0..2..1..0....0..3..0..0....0..0..1..0
%e ..3..0..0..0....1..4..1..0....0..1..4..1....0..0..3..0....0..1..4..1
%e ..0..2..1..2....2..1..2..0....3..0..1..0....3..0..1..2....0..0..1..2
%e ..0..1..4..1....0..3..0..0....0..0..0..3....0..1..4..1....0..0..3..0
%e ..0..0..1..2....0..0..0..0....0..3..0..0....0..0..1..2....0..0..0..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 16 2011
| 