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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 2,0,1,3,4 for x=0,1,2,3,4
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%I #6 Dec 18 2015 18:17:46

%S 1,9,24,67,244,1280,5637,32909,212185,1609756,13476199,134461394

%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 2,0,1,3,4 for x=0,1,2,3,4

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

%C Diagonal of A195978

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Sep 25 2011