A209394 T(n,k) = Number of n X k 1..4 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, 3, 152, 488, 152, 3, 13, 1449, 22416, 22416, 1449, 13, 16, 11655, 978956, 4488765, 978956, 11655, 16, 42, 89469, 32651213, 816320455, 816320455, 32651213, 89469, 42, 74, 705803, 1094498759

Offset

1,5

Comments

Table starts

..0.....1........1.........3.........3.......13.........16.....42.74

..1.....2.......16.......152......1449....11655......89469.705803

..1....16......488.....22416....978956.32651213.1094498759

..3...152....22416...4488765.816320455

..3..1449...978956.816320455

.13.11655.32651213

.16.89469

.42

Links

Table of n, a(n) for n=1..39.

Example

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

Crossrefs

Sequence in context: A095852 A283748 A209365 * A209023 A209058 A209215

Adjacent sequences: A209391 A209392 A209393 * A209395 A209396 A209397

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 07 2012

Status

approved