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Number of 6Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than or equal to itself.
1

%I #4 Dec 20 2015 10:30:21

%S 1,3927,284,406412,1354845965,162959704686,30258541759225,

%T 12768467508350730,4511437445589247247,1290530321424309477831,

%U 393446152908760499011581,125947934598003145408206493

%N Number of 6Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than or equal to itself.

%C Row 6 of A266055.

%H R. H. Hardin, <a href="/A266060/b266060.txt">Table of n, a(n) for n = 1..32</a>

%e Some solutions for n=3

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

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

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

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

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

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

%Y Cf. A266055.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 20 2015