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A201447 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.

%I A201447 #7 Jul 22 2025 16:15:26
%S A201447 1,9,29,112,261,846,1720,4193,8065,16693,29073,55954,90874,158301,
%T A201447 249828,409302,611841,962288,1392970,2091478,2957586,4286258,5893598,
%U A201447 8347259,11221370,15440747,20464931,27577548,35834857,47497364,60856456,79217039
%N A201447 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 A201447 Column 4 of A201451
%H A201447 R. H. Hardin, <a href="/A201447/b201447.txt">Table of n, a(n) for n = 1..82</a>
%e A201447 Some solutions for n=10
%e A201447 ..0..0..0..0....0..0..0..0....0..0..0..1....0..0..0..0....0..0..0..1
%e A201447 ..0..0..0..1....0..1..1..1....0..0..1..1....0..0..0..0....0..0..1..1
%e A201447 ..0..1..1..1....0..1..1..1....0..0..1..1....0..0..2..2....0..1..2..3
%e A201447 ..0..1..2..2....0..1..1..1....0..0..1..1....1..1..2..2....0..1..2..3
%e A201447 ..0..2..2..2....0..1..2..3....0..1..1..1....1..1..2..3....0..1..2..3
%e A201447 ..1..2..2..3....0..2..2..3....2..2..3..3....1..1..2..3....0..1..2..3
%e A201447 ..1..2..2..3....0..2..2..3....2..2..3..3....1..1..2..3....0..1..2..3
%e A201447 ..1..2..3..3....2..2..2..3....2..2..3..3....1..1..2..3....1..1..2..3
%e A201447 ..1..3..3..3....2..3..3..3....2..2..3..3....2..3..3..3....2..2..2..3
%e A201447 ..1..3..3..3....2..3..3..3....2..2..3..3....2..3..3..3....2..3..3..3
%K A201447 nonn
%O A201447 1,2
%A A201447 _R. H. Hardin_ Dec 01 2011