%I #7 Aug 11 2014 22:45:51
%S 84,7056,325120,9647292,204647416,3322756326,43307637038,469239396496,
%T 4340915844892,35013234463686,250416999823220,1610131956940138,
%U 9414450936518133,50540930874984955,251164546472066722
%N Number of 6Xn 0..3 arrays with rows unimodal and columns nondecreasing
%C Row 6 of A223987
%H R. H. Hardin, <a href="/A223991/b223991.txt">Table of n, a(n) for n = 1..210</a>
%H R. H. Hardin, <a href="/A223991/a223991.txt">Empirical polynomial of degree 36</a>
%F Empirical polynomial of degree 36 (see link above)
%e Some solutions for n=3
%e ..0..0..0....2..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
%e ..0..0..2....2..2..0....0..1..0....0..0..3....1..2..0....0..1..0....0..1..0
%e ..0..1..2....2..2..2....0..1..1....0..0..3....1..2..1....0..1..1....0..1..1
%e ..2..2..2....3..2..2....0..1..2....0..1..3....2..3..3....0..1..2....1..1..2
%e ..3..3..2....3..2..2....0..3..2....2..2..3....2..3..3....0..2..2....1..3..3
%e ..3..3..3....3..3..3....1..3..3....3..3..3....2..3..3....3..3..2....2..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 30 2013