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Number of n X 7 0..6 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 #6 Dec 26 2023 23:30:23

%S 1,127,4448,175865,3558888,76714325,1001060834,13053459189,

%T 126679336122,1146503112430,8486668894331,60373612028710,

%U 361132659179512

%N Number of n X 7 0..6 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 7 of A201072.

%e Some solutions for n=3

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

%e ..1..2..2..3..3..5..5....0..1..2..3..4..5..5....0..2..2..3..3..4..6

%e ..1..4..4..4..6..6..6....0..4..4..5..6..6..6....3..4..4..5..5..6..6

%Y Cf. A201072.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 26 2011