A202163 - OEIS

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

%S 0,4,55,752,8238,77960,663054,5215498,38678959,274025004,1872735358,

%T 12435556049,80677916282,513571982149,3218529210011,19909810689812,

%U 121825998303075,738596797827110,4442877434131554,26546050939783252

%N Number of nX3 0..3 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease

%C Column 3 of A202168

%H R. H. Hardin, <a href="/A202163/b202163.txt">Table of n, a(n) for n = 1..39</a>

%e Some solutions for n=6

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 13 2011