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

%I #3 Dec 20 2015 10:30:41

%S 1,18711,660,3922630,66932934348,17488967178845,7819198018954698,

%T 10484016801435669311,10832285455576819877387,

%U 8361971076554434945659918,7140195547280432492606291169,6567534043008191408279490228815

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

%C Row 7 of A266055.

%e Some solutions for n=3

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

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

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

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

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

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

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

%Y Cf. A266055.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 20 2015