%I #4 Dec 20 2015 11:21:10

%S 5,89,81,525,8262,25663,148323,1480037,7361668,43625889,337487030,

%T 1992491986,12259297662,84919942819,531642104603,3345439670726,

%U 22164717425170,141438239886755,900411960327132,5860940525461256

%N Number of nX4 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.

%C Column 4 of A266067.

%H R. H. Hardin, <a href="/A266064/b266064.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A266067.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2015