A260841 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.

48, 82, 82, 188, 131, 188, 364, 288, 288, 364, 644, 496, 700, 496, 644, 1320, 796, 1224, 1224, 796, 1320, 2584, 1645, 1560, 2235, 1560, 1645, 2584, 4842, 2976, 3470, 2590, 2590, 3470, 2976, 4842, 9412, 4890, 6908, 6232, 3828, 6232, 6908, 4890, 9412, 18210

Offset: 1

Author

R. H. Hardin, Aug 01 2015

Keywords

• nonn
• tabl

Comments

Table starts

....48....82...188...364....644...1320...2584...4842....9412...18210...35192

....82...131...288...496....796...1645...2976...4890....9332...17659...30090

...188...288...700..1224...1560...3470...6908..10070...18716...39478...64940

...364...496..1224..2235...2590...6232..13170..17731...34192...77780..123488

...644...796..1560..2590...3828...8646..16000..24508...49816..103124..168848

..1320..1645..3470..6232...8646..19718..37882..58489..116930..248515..412314

..2584..2976..6908.13170..16000..37882..80516.119194..231008..526102..890868

..4842..4890.10070.17731..24508..58489.119194.181176..369672..835045.1415774

..9412..9332.18716.34192..49816.116930.231008.369672..766388.1697970.2896836

.18210.17659.39478.77780.103124.248515.526102.835045.1697970.3885356.6805170

Examples

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

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 14] for n>15

k=2: [order 18] for n>19

k=3: [order 22] for n>24

k=4: [order 33] for n>34

k=5: [order 59] for n>63

k=6: [order 92] for n>96