A264945 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal horizontal neighbors and new values introduced sequentially from 0.

1, 0, 1, 0, 2, 1, 0, 1, 8, 1, 0, 2, 56, 60, 1, 0, 1, 332, 3201, 544, 1, 0, 2, 2350, 184740, 307016, 6040, 1, 0, 1, 16108, 11375145, 196389904, 43200625, 79008, 1, 0, 2, 114148, 730983420, 137409486772, 368696849320, 8403205056, 1190672, 1, 0, 1, 817280

Offset

1,5

Comments

Table starts

.1.....0..........0................0.....................0....................0

.1.....2..........1................2.....................1....................2

.1.....8.........56..............332..................2350................16108

.1....60.......3201...........184740..............11375145............730983420

.1...544.....307016........196389904..........137409486772......102117302729744

.1..6040...43200625.....368696849320......3537141103745065.36724170744914466520

.1.79008.8403205056.1122409297218768.173357342638694530002

Links

R. H. Hardin, Table of n, a(n) for n = 1..66

Example

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

Crossrefs

Column 2 is A053871.

Sequence in context: A337272 A058998 A085324 * A326476 A247864 A370398

Adjacent sequences: A264942 A264943 A264944 * A264946 A264947 A264948

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 29 2015

Status

approved