A201447 - OEIS

%I #5 Mar 31 2012 12:36:44

%S 1,9,29,112,261,846,1720,4193,8065,16693,29073,55954,90874,158301,

%T 249828,409302,611841,962288,1392970,2091478,2957586,4286258,5893598,

%U 8347259,11221370,15440747,20464931,27577548,35834857,47497364,60856456,79217039

%N Number of nX4 0..3 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other

%C Column 4 of A201451

%H R. H. Hardin, <a href="/A201447/b201447.txt">Table of n, a(n) for n = 1..82</a>

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 01 2011