A265232 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal vertical neighbors and new values introduced sequentially from 0.

1, 1, 1, 1, 2, 1, 1, 4, 7, 1, 1, 8, 56, 43, 1, 1, 16, 495, 2592, 372, 1, 1, 32, 4686, 184740, 222850, 4027, 1, 1, 64, 46456, 14439456, 164933040, 29357385, 51871, 1, 1, 128, 475392, 1196114464, 137409486772, 277778385204, 5460708807, 773186, 1, 1, 256

Offset

1,5

Comments

Table starts

.1........1.............1...............1................1...............1

.1........2.............4...............8...............16..............32

.1........7............56.............495.............4686...........46456

.1.......43..........2592..........184740.........14439456......1196114464

.1......372........222850.......164933040.....137409486772.123531282436770

.1.....4027......29357385....277778385204.3045763404200768

.1....51871....5460708807.785263649477535

.1...773186.1360701035812

.1.13083385

.1

Links

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

Example

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

Crossrefs

Row 2 is A000079(n-1); row 3 is A265233; row 4 is A265234; column 3 is A265230.

Diagonal is A264939.

Sequence in context: A275017 A141036 A294947 * A011016 A096540 A277081

Adjacent sequences: A265229 A265230 A265231 * A265233 A265234 A265235

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 06 2015

Status

approved