%I #7 May 04 2023 12:19:57
%S 154,7370,317656,12904303,501622631,18836416881,688892422045,
%T 24679562321720,870010030574894,30274045926194001,1042315568516067529,
%U 35569907932628823872,1204745819326637993000,40540325062931324645529
%N Number of n X 3 0..7 arrays with every row and column running average nondecreasing rightwards and downwards.
%C Column 3 of A200713.
%H R. H. Hardin, <a href="/A200709/b200709.txt">Table of n, a(n) for n = 1..23</a>
%e Some solutions for n=4
%e ..0..4..7....0..0..3....0..0..1....0..0..1....0..0..0....0..2..2....0..2..2
%e ..0..4..7....0..0..5....0..4..3....0..0..4....0..2..1....0..2..7....0..4..7
%e ..0..6..7....0..4..6....0..2..3....0..0..5....0..4..3....0..4..6....0..4..7
%e ..1..6..7....0..3..7....0..5..3....2..2..7....0..5..4....0..4..5....0..6..6
%Y Cf. A200713.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 20 2011