A260284 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001011

34, 46, 46, 99, 85, 99, 202, 230, 230, 202, 366, 525, 747, 525, 366, 714, 1150, 2027, 2027, 1150, 714, 1428, 2726, 5420, 6044, 5420, 2726, 1428, 2750, 6351, 15306, 18380, 18380, 15306, 6351, 2750, 5291, 14393, 42175, 60955, 65907, 60955, 42175, 14393

Offset

1,1

Comments

Table starts

....34....46.....99.....202......366.......714.......1428........2750

....46....85....230.....525.....1150......2726.......6351.......14393

....99...230....747....2027.....5420.....15306......42175......114513

...202...525...2027....6044....18380.....60955.....192277......595506

...366..1150...5420...18380....65907....264502.....984644.....3594132

...714..2726..15306...60955...264502...1271212....5588466....24324681

..1428..6351..42175..192277...984644...5588466...28517537...145143631

..2750.14393.114513..595506..3594132..24324681..145143631...866931786

..5291.33241.316679.1903722.13692107.110763233..777843590..5496336586

.10334.77098.874845.6052530.51665854.496845217.4078878260.33909426271

Links

R. H. Hardin, Table of n, a(n) for n = 1..683

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +3*a(n-3) +a(n-4) +a(n-8) for n>10

k=2: a(n) = a(n-1) +7*a(n-3) +a(n-4) +a(n-5) -7*a(n-6) -4*a(n-7) +3*a(n-9) for n>12

k=3: [order 14] for n>19

k=4: [order 21] for n>26

k=5: [order 39] for n>44

k=6: [order 57] for n>63

k=7: [order 75] for n>81

Example

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

Crossrefs

Sequence in context: A063470 A089715 A327132 * A274189 A275194 A341173

Adjacent sequences: A260281 A260282 A260283 * A260285 A260286 A260287

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 22 2015

Status

approved