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

1,1

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

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

Example

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

Crossrefs

Sequence in context: A178739 A261548 A065911 * A260767 A211722 A260834

Adjacent sequences: A260838 A260839 A260840 * A260842 A260843 A260844

Keyword

nonn,tabl

Author

R. H. Hardin, Aug 01 2015

Status

approved