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Number of n X n integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself.
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%I #6 Apr 20 2020 19:41:39

%S 1,5,64,929,53442,12401485,6206090116,5955851105844,17910530164706984,

%T 181493083347714402782,4372527304675102033719740,

%U 234910588564744761536499928490

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

%C Diagonal of A266101.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A266101.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 21 2015