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Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,2,1,0,1 for x=0,1,2,3,4
1

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

%S 4,154,3713,84258,1944779,45619023,1067467454,24842719624,

%T 579640352124,13530437284867,315670688353352,7364450700523381,

%U 171831664404352036,4009212488981256092,93541351813085948519,2182487674635263780504

%N Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,2,1,0,1 for x=0,1,2,3,4

%C Every 0 is next to 0 4's, every 1 is next to 1 2'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 5 of A197805

%H R. H. Hardin, <a href="/A197802/b197802.txt">Table of n, a(n) for n = 1..210</a>

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

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

%e ..1..4..1..0..0....0..0..1..4..1....1..4..1..1..0....1..4..1..1..2

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 18 2011