%I
%S 5,42,91,577,3796,19688,110924,656555,3732300,21344656,123330565,
%T 708246405,4066193034,23408646708,134627655119,773992993358,
%U 4452175085918,25607065587568,147270467464058,847048745101385
%N Number of nX4 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.
%C Column 4 of A266025.
%H R. H. Hardin, <a href="/A266021/b266021.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..1..0..0..1....0..0..1..1....0..1..1..0....0..0..1..1....0..2..1..0
%e ..1..2..1..1....0..2..2..0....2..3..2..0....0..2..2..0....0..1..1..1
%e ..2..2..2..0....1..2..0..0....1..2..1..2....1..3..2..1....2..1..1..1
%e ..1..0..0..0....1..0..0..0....0..2..1..0....1..0..1..2....0..2..0..1
%Y Cf. A266025.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 20 2015
