A260767 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010011

48, 82, 82, 190, 115, 190, 350, 265, 265, 350, 622, 481, 652, 481, 622, 1315, 798, 1234, 1234, 798, 1315, 2478, 1671, 1740, 2449, 1740, 1671, 2478, 4597, 3196, 3891, 3328, 3328, 3891, 3196, 4597, 9184, 5596, 8056, 7645, 5256, 7645, 8056, 5596, 9184, 17591

Offset

1,1

Comments

Table starts

....48....82...190....350....622...1315...2478....4597....9184...17591....33096

....82...115...265....481....798...1671...3196....5596...11008...21414....38685

...190...265...652...1234...1740...3891...8056...12829...24824...52425....91422

...350...481..1234...2449...3328...7645..16095...25501...51049..109299...189890

...622...798..1740...3328...5256..11107..21594...38145...75910..151311...277024

..1315..1671..3891...7645..11107..24103..48788...83655..166775..348791...629945

..2478..3196..8056..16095..21594..48788.104308..173103..341748..744619..1358260

..4597..5596.12829..25501..38145..83655.173103..305402..619749.1314687..2454814

..9184.11008.24824..51049..75910.166775.341748..619749.1256376.2669676..5022096

.17591.21414.52425.109299.151311.348791.744619.1314687.2669676.5925416.11179072

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 20] for n>23

k=3: [order 32] for n>34

k=4: [order 52] for n>58

Example

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

Crossrefs

Sequence in context: A261548 A065911 A260841 * A211722 A260834 A260760

Adjacent sequences: A260764 A260765 A260766 * A260768 A260769 A260770

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 30 2015

Status

approved