A202162 - OEIS

%I #5 Mar 31 2012 12:36:46

%S 0,0,4,44,288,1537,7328,32515,137127,557042,2199406,8493667,32225692,

%T 120526196,445477330,1630344366,5917000834,21321552087,76358216811,

%U 271995346780,964328895552,3404784217800,11977326096426,41996294148654

%N Number of nX2 0..3 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease

%C Column 2 of A202168

%H R. H. Hardin, <a href="/A202162/b202162.txt">Table of n, a(n) for n = 1..81</a>

%e Some solutions for n=8

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

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

%e ..0..1....0..0....1..1....2..3....1..1....0..0....0..1....1..1....1..1....0..2

%e ..2..2....0..0....1..3....1..2....1..1....2..2....2..3....2..3....1..2....3..3

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_ Dec 13 2011