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

Author

R. H. Hardin, Jan 28 2016

Keywords

• nonn
• tabl

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

Examples

			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
		

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 A267930.