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

%I #6 Dec 18 2015 18:17:54

%S 1,7,66,1317,115795,26488736,16946352492,30667098889607,

%T 150836015759040225

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

%C Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 0's

%C Diagonal of A197750

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 17 2011