A201230 - OEIS

%I #5 Mar 31 2012 12:36:43

%S 7,34,114,140,2462,18056,62133,82861,1593643,11978376,41385355,

%T 54794307,1094405924,8362468865,28876780544,37796133889,761894988558,

%U 5848452096002,20148759500753,26152640971116,532945521296121

%N Number of nX3 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other

%C Column 3 of A201235

%H R. H. Hardin, <a href="/A201230/b201230.txt">Table of n, a(n) for n = 1..36</a>

%e Some solutions for n=8

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 28 2011