A209365 T(n,k) = Number of n X k 1..3 arrays with every element value z a city block distance of exactly z from another element value z.

0, 1, 1, 1, 2, 1, 3, 16, 16, 3, 2, 122, 409, 122, 2, 8, 690, 10796, 10796, 690, 8, 10, 4098, 207438, 804545, 207438, 4098, 10, 21, 24301, 3706083, 42033202, 42033202, 3706083, 24301, 21, 35, 131984, 63071815, 2043431891, 5995346079, 2043431891, 63071815

Offset

1,5

Comments

Table starts

..0......1..........1...........3............2............8..........10

..1......2.........16.........122..........690.........4098.......24301

..1.....16........409.......10796.......207438......3706083....63071815

..3....122......10796......804545.....42033202...2043431891.95757163046

..2....690.....207438....42033202...5995346079.786021209045

..8...4098....3706083..2043431891.786021209045

.10..24301...63071815.95757163046

.21.131984.1032759720

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Sequence in context: A362272 A095852 A283748 * A209394 A209023 A209058

Adjacent sequences: A209362 A209363 A209364 * A209366 A209367 A209368

Keyword

nonn,tabl

Author

R. H. Hardin Mar 06 2012

Status

approved