%I
%S 15,3024,2946848,7289707650,36182978136598,314946169382603268,
%T 4397499594659018513529,92408426611916813238982284,
%U 2785236864744413991459135045397,115957546355673301589831649844689014
%N Number of nX4 nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to more than one of its immediate leftward or upward or rightupward antidiagonal neighbors
%C Column 4 of A208581
%H R. H. Hardin, <a href="/A208579/b208579.txt">Table of n, a(n) for n = 1..15</a>
%e Some solutions for n=4
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e ..1..1..1..0....1..1..1..2....1..1..1..0....1..1..1..2....1..1..1..0
%e ..0..0..1..0....2..0..0..0....2..0..1..0....2..0..0..0....0..2..1..0
%e ..1..0..1..0....0..1..1..0....0..1..0..1....0..1..1..2....0..0..3..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 29 2012
