A268204 T(n,k)=Number of nXk 0..k arrays with every repeated value in every row and column greater than the previous repeated value.

2, 9, 4, 60, 81, 6, 570, 3600, 576, 9, 6960, 324900, 178068, 3969, 12, 104006, 48441600, 157322070, 8459154, 25281, 16, 1837752, 10817248036, 292870561470, 73055876226, 376812420, 155236, 20, 37478718, 3377332413504, 994136348047368

Offset

1,1

Comments

Table starts

..2......9..........60............570.............6960...............104006

..4.....81........3600.........324900.........48441600..........10817248036

..6....576......178068......157322070.....292870561470......994136348047368

..9...3969.....8459154....73055876226.1699631089239529.87855957137937824257

.12..25281...376812420.32082001964881

.16.155236.16109362560

.20.915849

.25

Links

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

Example

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

Crossrefs

Column 1 is A002620(n+2).

Column 2 is A267961.

Column 3 is A267930.

Sequence in context: A038215 A264110 A119019 * A268249 A268246 A268103

Adjacent sequences: A268201 A268202 A268203 * A268205 A268206 A268207

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 28 2016

Status

approved