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A265421 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal horizontal, vertical, diagonal or antidiagonal neighbors and new values introduced sequentially from 0. 4
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 (list; table; graph; refs; listen; history; text; internal format)
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: A127560 A098172 A049759 * A137252 A228623 A036875

Adjacent sequences:  A265418 A265419 A265420 * A265422 A265423 A265424

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 08 2015

STATUS

approved

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Last modified July 24 14:21 EDT 2021. Contains 346273 sequences. (Running on oeis4.)