A198408 T(n,k) = Number of 2n X 2k 0..4 arrays with values 0..4 introduced in row major order and each element equal to exactly one horizontal and vertical neighbor.

2, 17, 17, 377, 6986, 377, 11473, 5057327, 5057327, 11473, 375273, 3850206168, 85013617830, 3850206168, 375273, 12456897, 2970439193698, 1506130430723528, 1506130430723528, 2970439193698, 12456897, 414711897, 2302126761338667

Offset

1,1

Comments

Table starts:

........2............17..............377............11473...............375273

.......17..........6986..........5057327.......3850206168........2970439193698

......377.......5057327......85013617830.1506130430723528.27330079651426584414

....11473....3850206168.1506130430723528

...375273.2970439193698

.12456897

Links

R. H. Hardin, Table of n, a(n) for n = 1..24

Example

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

Crossrefs

Sequence in context: A153652 A198290 A198596 * A198534 A032936 A263329

Adjacent sequences: A198405 A198406 A198407 * A198409 A198410 A198411

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 24 2011

Status

approved