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

Author

R. H. Hardin, Dec 06 2015

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 2 is A165968(n+1).

Row 2 is A000079(n-1).