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

Author

R. H. Hardin, Jan 29 2016

Keywords

• nonn
• tabl

Comments

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A002620(n+2).

Column 2 is A267961.

Column 3 is A267971.

Row 1 is A268104.

Row 2 is A268105.

Formula

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]