A260544 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001

40, 75, 75, 193, 131, 193, 337, 310, 310, 337, 582, 566, 774, 566, 582, 1350, 976, 1411, 1411, 976, 1350, 2732, 2229, 2226, 2775, 2226, 2229, 2732, 5037, 4296, 5592, 4398, 4398, 5592, 4296, 5037, 10549, 7576, 11370, 10949, 9184, 10949, 11370, 7576, 10549

Offset

1,1

Comments

Table starts

....40....75...193....337....582....1350....2732....5037....10549....21615

....75...131...310....566....976....2229....4296....7576....16060....32285

...193...310...774...1411...2226....5592...11370...18899....40776....88106

...337...566..1411...2775...4398...10949...22212...38389....86646...186223

...582...976..2226...4398...9184...21050...40916...87410...201208...402848

..1350..2229..5592..10949..21050...50674..105058..215160...491828..1049785

..2732..4296.11370..22212..40916..105058..219852..434066..1050126..2356780

..5037..7576.18899..38389..87410..215160..434066..991164..2519648..5328956

.10549.16060.40776..86646.201208..491828.1050126.2519648..6265304.13631378

.21615.32285.88106.186223.402848.1049785.2356780.5328956.13631378.31978322

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 13] for n>14

k=3: [order 19] for n>22

k=4: [order 27] for n>31

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

k=6: [order 91] for n>95

Example

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

Crossrefs

Sequence in context: A098517 A260177 A260170 * A260537 A044106 A044487

Adjacent sequences: A260541 A260542 A260543 * A260545 A260546 A260547

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 28 2015

Status

approved