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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
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jul 27 2015
STATUS
approved