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Number of nX6 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
1

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

%S 6,13,701,846,22324,16334,363693,211755,3708666,1743841,27486101,

%T 11523462,159251638,59366033,763865999,265448264,3148137956,

%U 1014298362,11451837500,3516665645,37535616517,10943450873,112627454165,31695873391

%N Number of nX6 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 6 of A201451

%H R. H. Hardin, <a href="/A201449/b201449.txt">Table of n, a(n) for n = 1..42</a>

%e Some solutions for n=6

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 01 2011