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Number of n X n integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself.
1

%I #7 Apr 14 2020 21:32:36

%S 1,11,481,118489,576560236,16683384355551,2672754315229290867,

%T 4275997692282705369421209,63037514242101405128726185634484,

%U 6442860444936274078992907978523176224151

%N Number of n X n integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself.

%C Diagonal of A266033.

%H R. H. Hardin, <a href="/A266026/b266026.txt">Table of n, a(n) for n = 1..11</a>

%e Some solutions for n=4

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

%e ..1..4..0..0....2..0..4..0....0..0..4..0....0..0..0..2....2..0..0..2

%e ..1..0..0..0....2..0..4..0....2..0..4..0....0..0..1..2....2..0..0..1

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

%Y Cf. A266033.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 20 2015