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Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 n X n array.
0

%I #7 Jan 20 2024 16:46:22

%S 4,16,610,82188,45453172,99181510254,817394844786996,

%T 26269231937922520406

%N Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 n X n array.

%C Diagonal of A218651.

%e Some solutions for n=3

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

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

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

%Y Cf. A218651.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 03 2012