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Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,4,1,0,1 for x=0,1,2,3,4
1

%I #5 Mar 31 2012 12:36:29

%S 1,99,1873,19387,355929,5198997,79831388,1224953019,18720559109,

%T 286695564063,4387392987375,67144325650311,1027713403550939,

%U 15728844758196796,240730652255271607,3684411293604740543

%N Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,4,1,0,1 for x=0,1,2,3,4

%C Every 0 is next to 0 2'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 7 of A197373

%H R. H. Hardin, <a href="/A197372/b197372.txt">Table of n, a(n) for n = 1..200</a>

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

%e ..0..0..1..0..3..0..0....0..0..0..3..0..0..0....0..0..3..0..0..1..2

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

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

%e ..0..3..0..3..0..1..2....2..1..0..3..0..0..0....0..0..0..0..3..0..0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 14 2011