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A268249 T(n,k)=Number of nXk 0..k arrays with every repeated value in every row greater than, and every column greater than or equal to, the previous repeated value. 3
2, 9, 4, 60, 81, 8, 570, 3600, 729, 15, 6960, 324900, 216000, 6084, 28, 104006, 48441600, 185193000, 12067722, 49284, 51, 1837752, 10817248036, 337153536000, 98956027822, 648144348, 386884, 92, 37478718, 3377332413504, 1125058699232216 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...2........9............60...............570.................6960

...4.......81..........3600............324900.............48441600

...8......729........216000.........185193000.........337153536000

..15.....6084......12067722.......98956027822.....2213773305829075

..28....49284.....648144348....50740994294843.13958709698552890082

..51...386884...33600202086.25094770808231271

..92..2965284.1691726672094

.164.22268961

.290

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..48

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4)

k=2: [order 15]

EXAMPLE

Some solutions for n=2 k=4

..2..3..1..1....3..1..4..3....0..1..0..3....4..0..0..4....0..2..4..3

..1..1..0..4....1..1..3..4....1..0..0..4....0..4..3..1....0..0..1..3

CROSSREFS

Column 1 is A029907(n+1).

Column 2 is A268014.

Column 3 is A267977.

Row 1 is A268205.

Row 2 is A268206.

Sequence in context: A264110 A119019 A268204 * A268246 A268103 A127145

Adjacent sequences:  A268246 A268247 A268248 * A268250 A268251 A268252

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 29 2016

STATUS

approved

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Last modified December 16 09:06 EST 2019. Contains 330020 sequences. (Running on oeis4.)