%I #5 Mar 31 2012 12:37:23

%S 5,198,20746,4150760,1366230232,675203938944,470798015742024,

%T 442649055938121520,542162635236824518416,841853575796382626351008,

%U 1621152906552533388717492544,3801835656372944848040523715264

%N Number of nX3 nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors

%C Column 3 of A208466

%H R. H. Hardin, <a href="/A208462/b208462.txt">Table of n, a(n) for n = 1..92</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 27 2012