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Number of 4Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself.
1

%I #4 Dec 20 2015 07:47:17

%S 1,263,4659,118489,8260441,408513208,18310081145,893274482801,

%T 43871509629713,2125306114047014,103023996018095153,

%U 5001737585430438515,242795570513177880054,11784713223275028672523,571987904595320449315439

%N Number of 4Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself.

%C Row 4 of A266033.

%H R. H. Hardin, <a href="/A266036/b266036.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

%e ..2..0..4..0....0..0..3..1....0..0..0..1....0..0..3..0....0..0..0..0

%e ..0..0..4..0....0..4..0..2....1..4..1..1....0..4..0..0....1..3..4..1

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

%Y Cf. A266033.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 20 2015