A267933 T(n,k)=Number of nXk 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.

4, 16, 16, 60, 256, 60, 222, 3600, 3600, 222, 804, 49284, 178068, 49284, 804, 2872, 646416, 8459154, 8459154, 646416, 2872, 10132, 8248384, 376812420, 1376175262, 376812420, 8248384, 10132, 35383, 102657424, 16109362560, 205495778969

Offset: 1

Author

R. H. Hardin, Jan 22 2016

Keywords

• nonn
• tabl

Comments

Table starts

......4..........16.............60..............222...............804

.....16.........256...........3600............49284............646416

.....60........3600.........178068..........8459154.........376812420

....222.......49284........8459154.......1376175262......205495778969

....804......646416......376812420.....205495778969...100687082932722

...2872.....8248384....16109362560...29057389299071.46100277695598540

..10132...102657424...663451196118.3909876972823819

..35383..1251956689.26507885328672

.122480.15001350400

.420752

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 8]

k=2: [order 21]

k=3: [order 81]