A198654 T(n,k)=Number of nXk 0..6 arrays with values 0..6 introduced in row major order and each element equal to at least one horizontal or vertical neighbor

0, 1, 1, 1, 3, 1, 2, 14, 14, 2, 3, 76, 185, 76, 3, 6, 488, 3904, 3904, 488, 6, 11, 3521, 98467, 344008, 98467, 3521, 11, 23, 28030, 3050721, 39898934, 39898934, 3050721, 28030, 23, 47, 242849, 108395401, 5870175231, 21787578805, 5870175231, 108395401

Offset

1,5

Comments

Table starts

...0.......1..........1............2..............3..............6...........11

...1.......3.........14...........76............488...........3521........28030

...1......14........185.........3904..........98467........3050721....108395401

...2......76.......3904.......344008.......39898934.....5870175231.996290832880

...3.....488......98467.....39898934....21787578805.15022218265442

...6....3521....3050721...5870175231.15022218265442

..11...28030..108395401.996290832880

..23..242849.4339928301

..47.2264711

.103

Links

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

Example

Some solutions with all values 0 to 6 for n=4 k=4
..0..0..0..1....0..0..1..1....0..0..1..2....0..1..1..2....0..0..1..1
..2..2..3..1....2..2..2..2....3..3..1..2....0..3..3..2....2..2..3..3
..4..4..3..5....3..4..5..6....4..4..5..5....4..5..6..6....4..5..5..6
..6..6..6..5....3..4..5..6....4..6..6..5....4..5..6..6....4..5..5..6

Crossrefs

Sequence in context: A171059 A198708 A198627 * A198661 A163485 A276011

Adjacent sequences: A198651 A198652 A198653 * A198655 A198656 A198657

Keyword

nonn,tabl

Author

R. H. Hardin Oct 28 2011

Status

approved