A265421 T(n,k) = Number of n X k arrays containing k copies of 0..n-1 with no equal horizontal, vertical, diagonal or antidiagonal neighbors and new values introduced sequentially from 0.

1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 4, 1, 0, 0, 0, 1, 48, 1, 0, 0, 0, 7, 225, 584, 1, 0, 0, 0, 1, 8708, 86226, 8096, 1, 0, 0, 0, 19, 79026, 26269068, 25009492, 127296, 1, 0, 0, 0, 1, 2108980, 7017652689, 117840778362, 8099337021, 2241856, 1, 0, 0, 0, 67, 28314236

Offset

1,14

Comments

Table starts

.1.......0..........0............0..........0.............0........0..0.0.0.0

.1.......0..........0............0..........0.............0........0..0.0.0

.1.......0..........0............0..........0.............0........0..0.0

.1.......4..........1............7..........1............19........1.67

.1......48........225.........8708......79026.......2108980.28314236

.1.....584......86226.....26269068.7017652689.2116863604518

.1....8096...25009492.117840778362

.1..127296.8099337021

.1.2241856

.1

Links

R. H. Hardin, Table of n, a(n) for n = 1..61

Formula

Empirical for row n:

n=4: a(n) = 1 for odd n; a(n) = 2^(n-2)+3 for even n.

Example

Some solutions for n=5, k=4
..0..1..2..0....0..1..2..1....0..1..2..3....0..1..2..3....0..1..2..0
..3..4..3..4....3..4..3..0....2..3..4..0....2..4..0..4....3..4..3..4
..0..2..1..0....1..0..2..4....4..1..2..1....3..1..2..1....0..2..1..2
..3..4..3..2....3..4..3..1....0..3..4..3....4..0..4..0....4..3..4..3
..1..2..1..4....2..0..2..4....4..1..0..2....3..2..3..1....1..2..0..1

Crossrefs

Sequence in context: A098172 A049759 A355829 * A137252 A228623 A036875

Adjacent sequences: A265418 A265419 A265420 * A265422 A265423 A265424

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 08 2015

Status

approved