A260501 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011

48, 83, 83, 218, 136, 218, 464, 347, 347, 464, 722, 683, 868, 683, 722, 1600, 942, 1756, 1756, 942, 1600, 3446, 2115, 2420, 3603, 2420, 2115, 3446, 6277, 4393, 5219, 4471, 4471, 5219, 4393, 6277, 12596, 6800, 11450, 9616, 5848, 9616, 11450, 6800, 12596

Offset

1,1

Comments

Table starts

....48....83...218....464....722...1600....3446....6277...12596...26271

....83...136...347....683....942...2115....4393....6800...13290...27885

...218...347...868...1756...2420...5219...11450...17686...34000...74901

...464...683..1756...3603...4471...9616...22405...32471...59657..140464

...722...942..2420...4471...5848..13651...30590...44345...86146..202955

..1600..2115..5219...9616..13651..31078...67993..103520..205769..478636

..3446..4393.11450..22405..30590..67993..155232..238047..464696.1101861

..6277..6800.17686..32471..44345.103520..238047..356236..704795.1727450

.12596.13290.34000..59657..86146.205769..464696..704795.1433220.3531933

.26271.27885.74901.140464.202955.478636.1101861.1727450.3531933.8676027

Links

R. H. Hardin, Table of n, a(n) for n = 1..612

Formula

Empirical for column k:

k=1: [linear recurrence of order 12] for n>14

k=2: [order 17] for n>19

k=3: [order 30] for n>33

k=4: [order 40] for n>44

k=5: [order 88] for n>91

Example

Some solutions for n=4 k=4
..1..1..0..0..1..0....0..0..1..0..0..1....1..1..0..0..1..1....1..1..0..0..0..0
..0..1..0..0..1..0....0..0..1..0..0..1....0..0..0..0..1..0....0..0..0..0..1..1
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..1..0..0..0..0....1..1..0..0..0..0
..1..0..0..1..0..0....0..1..0..0..1..0....0..1..0..0..1..1....0..0..0..0..1..0
..1..0..0..1..0..0....0..1..0..0..1..0....0..0..0..0..0..1....0..0..0..0..1..1

Crossrefs

Sequence in context: A211722 A260834 A260760 * A260494 A039426 A043249

Adjacent sequences: A260498 A260499 A260500 * A260502 A260503 A260504

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 27 2015

Status

approved