A268105 -id:A268105 - cp's OEIS frontend

A268246 T(n,k)=Number of nXk 0..k arrays with every repeated value in every row greater than or equal to, and every column greater than, the previous repeated value.

2, 9, 4, 64, 81, 6, 615, 4096, 576, 9, 7536, 378225, 216000, 3969, 12, 112476, 56791296, 197555340, 10941048, 25281, 16, 1981512, 12650850576, 371713931400, 98956027822, 519718464, 155236, 20, 40265487, 3926389806144, 1257212773492866

Offset: 1

R. H. Hardin, Jan 29 2016

Table starts
..2......9..........64............615.............7536................112476
..4.....81........4096.........378225.........56791296...........12650850576
..6....576......216000......197555340.....371713931400......1257212773492866
..9...3969....10941048....98956027822.2335306173137957.120138605995104637373
.12..25281...519718464.46876747497685
.16.155236.23689358848
.20.915849
.25

			Some solutions for n=2 k=4
..1..1..0..1....0..0..2..0....0..1..2..0....0..2..2..2....1..1..2..3
..1..0..2..2....3..4..4..3....2..3..1..2....0..3..0..1....1..0..4..2

R. H. Hardin, Table of n, a(n) for n = 1..40

Column 1 is A002620(n+2).
Column 2 is A267961.
Column 3 is A267971.
Row 1 is A268104.
Row 2 is A268105.

Empirical for column k:
k=1: a(n) = 2*a(n-1) -2*a(n-3) +a(n-4)
k=2: [order 15]
k=3: [order 40]

cp's OEIS Frontend

A268246 T(n,k)=Number of nXk 0..k arrays with every repeated value in every row greater than or equal to, and every column greater than, the previous repeated value.

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