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Number of n X 7 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 #9 Feb 19 2024 03:17:19

%S 4,110,844,1720,45532,363693,1129682,1136762,16354832,80822317,

%T 164740812,118019739,1269643884,4872612379,7910355612,4617454222,

%U 41308142036,133824389250,186755344178,94854691897,750329582592,2169912953058

%N Number of n X 7 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.

%H R. H. Hardin, <a href="/A201450/b201450.txt">Table of n, a(n) for n = 1..32</a>

%e Some solutions for n=5:

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

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

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

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

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

%Y Column 7 of A201451.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2011