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.

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

Offset: 1

Author

R. H. Hardin, Jan 29 2016

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A029907(n+1).

Column 2 is A268014.

Column 3 is A267977.

Row 1 is A268205.

Row 2 is A268206.

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]