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Number of n X n integer arrays with each element equal to the number of horizontal and antidiagonal neighbors not equal to itself.
0

%I #6 Apr 20 2020 19:39:51

%S 1,1,6,2,1,5,422,243,299,1712,91080,155636,749259,5409278,253679426,

%T 2921924313,9771922764942

%N Number of n X n integer arrays with each element equal to the number of horizontal and antidiagonal neighbors not equal to itself.

%C Diagonal of A265991.

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A265991.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 19 2015