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Number of n X n 0..7 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.
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%I #8 Jun 09 2023 23:00:57

%S 8,140,252,2490,1445712,2244318652,80495995176,4031708477982

%N Number of n X n 0..7 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

%C Diagonal of A201101.

%e Some solutions for n=4

%e ..0..0..3..3....0..0..1..4....0..0..2..3....0..0..3..5....0..0..3..4

%e ..1..1..4..6....1..2..5..5....1..2..4..6....1..1..4..5....1..1..5..5

%e ..2..4..5..6....2..3..6..7....1..3..5..7....2..2..6..6....2..2..6..7

%e ..2..5..7..7....3..4..6..7....4..5..6..7....3..4..7..7....3..4..6..7

%Y Cf. A201101.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2011