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Number of 6Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.
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%I #3 Dec 21 2015 12:32:38

%S 1,544,9083,19750,326145,13689944,325554385,3901509248,74115297377,

%T 2013995093008,45630856227503,832426433462416

%N Number of 6Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

%C Row 6 of A266131.

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A266131.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 21 2015