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A201067 Number of nX3 0..6 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

%I A201067 #7 Jul 22 2025 16:04:29
%S A201067 35,35,514,2611,3937,50334,4448,381982,206357,1377351,2831603,1974341,
%T A201067 20355511,1239614,73355614,25640082,134750988,236836508,134563397,
%U A201067 1068791444,49395188,2697358626,852508061,3859642876,5707775509
%N A201067 Number of nX3 0..6 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.
%C A201067 Column 3 of A201072
%H A201067 R. H. Hardin, <a href="/A201067/b201067.txt">Table of n, a(n) for n = 1..58</a>
%e A201067 Some solutions for n=7
%e A201067 ..0..0..3....0..1..3....0..0..0....0..0..2....0..0..0....0..1..1....0..0..1
%e A201067 ..0..1..4....0..2..3....1..1..2....0..1..2....1..2..5....0..2..3....0..2..3
%e A201067 ..1..1..4....0..2..4....1..2..2....1..1..4....1..3..5....0..2..4....1..2..3
%e A201067 ..2..3..4....1..2..5....3..3..5....2..3..5....1..3..5....1..2..5....1..3..4
%e A201067 ..2..3..5....1..3..6....3..4..5....3..3..6....2..3..6....3..3..6....2..4..5
%e A201067 ..2..5..5....4..5..6....4..5..6....4..5..6....2..4..6....4..4..6....4..5..5
%e A201067 ..6..6..6....4..5..6....4..6..6....4..5..6....4..4..6....5..5..6....6..6..6
%K A201067 nonn
%O A201067 1,1
%A A201067 _R. H. Hardin_ Nov 26 2011