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

1,1

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

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]

Example

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

Crossrefs

Sequence in context: A269109 A269201 A269289 * A206974 A206577 A207582

Adjacent sequences: A267930 A267931 A267932 * A267934 A267935 A267936

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 22 2016

Status

approved