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

%I #8 Apr 13 2022 20:10:33

%S 1,6,40,826,40221,5627727,1740363958,1318320614894

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

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

%C Diagonal of A196485.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A196485.

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 03 2011