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A201230 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.

%I A201230 #7 Jul 22 2025 16:10:09
%S A201230 7,34,114,140,2462,18056,62133,82861,1593643,11978376,41385355,
%T A201230 54794307,1094405924,8362468865,28876780544,37796133889,761894988558,
%U A201230 5848452096002,20148759500753,26152640971116,532945521296121
%N A201230 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 A201230 Column 3 of A201235
%H A201230 R. H. Hardin, <a href="/A201230/b201230.txt">Table of n, a(n) for n = 1..36</a>
%e A201230 Some solutions for n=8
%e A201230 ..0..0..0....0..1..1....0..0..1....0..0..0....0..1..1....0..0..1....0..0..0
%e A201230 ..0..1..1....0..2..1....0..0..1....0..0..1....0..1..1....0..2..1....0..0..1
%e A201230 ..0..1..1....0..2..1....0..1..2....0..1..2....0..1..2....0..1..3....0..1..2
%e A201230 ..0..1..2....0..2..1....0..3..3....1..1..3....0..3..3....0..1..2....1..3..2
%e A201230 ..1..3..3....0..3..2....1..1..2....2..3..3....0..3..2....0..3..2....1..2..3
%e A201230 ..2..2..2....0..3..2....2..2..3....1..2..2....0..2..3....1..3..2....1..2..3
%e A201230 ..2..3..3....3..3..3....1..2..2....1..2..2....1..3..2....2..3..3....1..3..3
%e A201230 ..2..3..3....1..3..2....3..3..3....3..3..3....2..2..3....1..3..2....2..2..3
%K A201230 nonn
%O A201230 1,1
%A A201230 _R. H. Hardin_ Nov 28 2011