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A260177
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010001
9
40, 74, 74, 183, 167, 183, 409, 419, 419, 409, 950, 1001, 1054, 1001, 950, 2221, 2500, 2598, 2598, 2500, 2221, 5235, 6344, 6813, 6973, 6813, 6344, 5235, 12063, 15847, 17889, 19701, 19701, 17889, 15847, 12063, 28230, 39584, 46263, 55849, 61216, 55849
OFFSET
1,1
COMMENTS
Table starts
....40.....74....183.....409......950.....2221......5235......12063......28230
....74....167....419....1001.....2500.....6344.....15847......39584......99741
...183....419...1054....2598.....6813....17889.....46263.....119681.....316052
...409...1001...2598....6973....19701....55849....153286.....432380....1232980
...950...2500...6813...19701....61216...189092....572908....1765974....5534722
..2221...6344..17889...55849...189092...651914...2136068....7213362...24711312
..5235..15847..46263..153286...572908..2136068...7542684...27290652..103230076
.12063..39584.119681..432380..1765974..7213362..27290652..110062152..455099790
.28230..99741.316052.1232980..5534722.24711312.103230076..455099790.2074273964
.65845.250297.821743.3453740.16874335.83529368.376084390.1815630894.9017934212
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 10] for n>11
k=2: [order 15] for n>16
k=3: [order 30] for n>31
k=4: [order 54] for n>57
EXAMPLE
Some solutions for n=4 k=4
..0..0..0..0..1..0....0..0..0..0..0..0....0..1..0..0..0..1....0..1..0..0..0..0
..0..0..0..0..0..0....0..0..0..1..0..0....0..0..1..0..0..0....0..0..0..0..1..0
..0..0..1..0..0..0....1..0..0..0..1..0....0..0..0..1..0..0....0..0..0..0..0..1
..0..0..0..1..0..1....0..1..0..0..0..0....0..0..0..0..1..0....0..0..1..0..0..0
..1..0..0..0..0..0....1..0..0..0..1..0....0..1..0..0..0..1....0..1..0..0..0..1
..0..1..0..0..0..0....0..0..0..1..0..1....1..0..1..0..0..0....1..0..0..0..0..0
CROSSREFS
Sequence in context: A251123 A064635 A098517 * A260170 A260544 A260537
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jul 17 2015
STATUS
approved