A264939 -id:A264939 - cp's OEIS frontend

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

R. H. Hardin, Dec 06 2015

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

			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

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

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

Diagonal is A264939.

cp's OEIS Frontend

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.

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