%I #5 Mar 31 2012 12:36:45

%S 10,50,212,823,3030,10777,37530,128742,437110,1472736,4933374,

%T 16449879,54649472,181008926,598052300,1971884632,6490418396,

%U 21331768570,70022479666,229604183052,752170525867,2462061236121,8053252606139

%N Number of nX2 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally

%C Column 2 of A201836

%H R. H. Hardin, <a href="/A201830/b201830.txt">Table of n, a(n) for n = 1..36</a>

%e Some solutions for n=7

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

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

%e ..2..2....1..2....1..3....2..3....1..1....1..3....2..2....1..3....1..1....1..1

%e ..1..3....1..2....1..3....1..3....1..2....1..3....2..2....1..2....1..2....1..1

%e ..2..2....2..3....1..2....2..2....1..2....3..3....1..3....2..2....1..1....1..1

%e ..2..3....3..3....2..3....1..2....1..2....3..3....1..3....2..2....1..1....1..1

%e ..3..3....3..3....2..3....1..2....1..2....2..3....1..3....2..3....1..1....3..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 05 2011