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

1,1

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

Links

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

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]

Example

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

Crossrefs

Column 1 is A002620(n+2).

Column 2 is A267961.

Column 3 is A267971.

Row 1 is A268104.

Row 2 is A268105.

Sequence in context: A119019 A268204 A268249 * A268103 A127145 A210423

Adjacent sequences: A268243 A268244 A268245 * A268247 A268248 A268249

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 29 2016

Status

approved