A265241 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal antidiagonal neighbors and new values introduced sequentially from 0.

1, 1, 1, 1, 2, 1, 1, 4, 10, 1, 1, 8, 92, 68, 1, 1, 16, 888, 4716, 604, 1, 1, 32, 8880, 359172, 414716, 6584, 1, 1, 64, 91180, 29189088, 327847656, 55210372, 85048, 1, 1, 128, 955320, 2481226704, 284341627344, 559450092072, 10337500044, 1269680, 1, 1, 256

Offset

1,5

Comments

Table starts

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

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

.1...10.......92..........888.............8880................91180

.1...68.....4716.......359172.........29189088...........2481226704

.1..604...414716....327847656.....284341627344......262625535902888

.1.6584.55210372.559450092072.6395116792255680.79291881287786838864

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

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

Crossrefs

Column 2 is A165968(n+1).

Row 2 is A000079(n-1).

Sequence in context: A055130 A051292 A094424 * A166888 A083677 A075803

Adjacent sequences: A265238 A265239 A265240 * A265242 A265243 A265244

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 06 2015

Status

approved