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Number of n X 4 0..4 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 #7 Jul 28 2022 20:54:03

%S 5,79,537,1225,1095,15023,95845,268375,325061,168262,1743684,7499861,

%T 15130265,14517651,5800482,49981930,178151444,307672792,257468817,

%U 87287958,681245186,2178690191,3396865595,2581813804,796596745

%N Number of n X 4 0..4 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 4 of A200990.

%H R. H. Hardin, <a href="/A200986/b200986.txt">Table of n, a(n) for n = 1..52</a>

%e Some solutions for n=3

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

%e ..0..2..2..3....0..1..2..3....0..1..2..4....0..1..2..3....0..1..3..3

%e ..0..2..4..4....3..4..4..4....0..3..4..4....0..4..4..4....2..4..4..4

%Y Cf. A200990.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 25 2011