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Number of 7Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself.
0

%I #3 Dec 20 2015 07:49:25

%S 1,28399,4281953,1092258910,2834665076351,3378465528248312,

%T 2672754315229290867,2885006038907419657005,3406933202847384254604064,

%U 3651897242188721504759323539,3891936445111406106603971681928

%N Number of 7Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself.

%C Row 7 of A266033.

%e Some solutions for n=2

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

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

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

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

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

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

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

%Y Cf. A266033.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 20 2015