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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
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jul 30 2015
STATUS
approved