%I #4 Dec 17 2015 10:06:12
%S 5,137,1330,30363,544092,9831410,185555660,3446658882,64319089694,
%T 1199098819080,22364131445571,417190960294802,7779917972805386,
%U 145112215710497400,2706516080784304796,50479139484195509572
%N Number of nX3 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than itself.
%C Column 3 of A265878.
%H R. H. Hardin, <a href="/A265875/b265875.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..0..1..2....0..4..0....1..4..0....2..1..1....0..4..1....0..3..1....0..0..3
%e ..4..1..3....2..2..3....0..2..4....1..0..2....2..0..3....2..5..0....4..1..1
%e ..0..6..0....0..6..0....3..3..0....2..2..4....2..0..3....1..5..0....2..6..0
%e ..0..3..0....0..0..0....0..4..1....3..0..0....3..2..0....0..3..1....1..0..0
%Y Cf. A265878.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2015