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

%I #8 Jan 01 2024 19:50:50

%S 1,1,16,193,19449,2535368,1436535356,2099296647197,9043086011797968,

%T 109561680407727718539

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

%C Diagonal of A196809.

%e Some solutions for n=4

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

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

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

%e ..0..0..0..0....0..3..0..0....0..0..0..0....0..0..0..0....0..3..0..0

%Y Cf. A196809.

%K nonn

%O 1,3

%A _R. H. Hardin_, Oct 06 2011