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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. 3
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified November 22 13:47 EST 2019. Contains 329393 sequences. (Running on oeis4.)