A260294 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001

48, 104, 104, 274, 201, 274, 560, 544, 544, 560, 966, 1145, 1336, 1145, 966, 2300, 1524, 2966, 2966, 1524, 2300, 4762, 3591, 3764, 5629, 3764, 3591, 4762, 8252, 8550, 8660, 7146, 7146, 8660, 8550, 8252, 17470, 13055, 21028, 19157, 10952, 19157, 21028

Offset

1,1

Comments

Table starts

....48...104....274....560....966....2300....4762....8252....17470....38160

...104...201....544...1145...1524....3591....8550...13055....24762....60761

...274...544...1336...2966...3764....8660...21028...33108....60116...153106

...560..1145...2966...5629...7146...19157...45596...64925...134780...364807

...966..1524...3764...7146..10952...29166...62980..101512...225924...560690

..2300..3591...8660..19157..29166...72652..168582..292171...625218..1609460

..4762..8550..21028..45596..62980..168582..385280..635774..1454932..3865506

..8252.13055..33108..64925.101512..292171..635774.1076482..2711612..7110332

.17470.24762..60116.134780.225924..625218.1454932.2711612..6847376.18585578

.38160.60761.153106.364807.560690.1609460.3865506.7110332.18585578.52370322

Links

R. H. Hardin, Table of n, a(n) for n = 1..544

Formula

Empirical for column k:

k=1: [linear recurrence of order 9] for n>10

k=2: [order 10] for n>12

k=3: [order 24] for n>28

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

k=5: [order 72] for n>78

Example

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

Crossrefs

Sequence in context: A260241 A259994 A113797 * A260287 A187931 A191837

Adjacent sequences: A260291 A260292 A260293 * A260295 A260296 A260297

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 22 2015

Status

approved