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A259962
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001001
9
34, 67, 67, 155, 146, 155, 353, 439, 439, 353, 808, 1187, 1603, 1187, 808, 1884, 3227, 5449, 5449, 3227, 1884, 4340, 8964, 18681, 22622, 18681, 8964, 4340, 9925, 24719, 64891, 95505, 95505, 64891, 24719, 9925, 22799, 67952, 222813, 410928, 501606
OFFSET
1,1
COMMENTS
Table starts
....34.....67.....155.......353........808........1884.........4340
....67....146.....439......1187.......3227........8964........24719
...155....439....1603......5449......18681.......64891.......222813
...353...1187....5449.....22622......95505......410928......1749180
...808...3227...18681.....95505.....501606.....2680028.....14134043
..1884...8964...64891....410928....2680028....17818241....116786951
..4340..24719..222813...1749180...14134043...116786951....949570630
..9925..67952..764865...7428045...74413321...764080109...7710610630
.22799.187266.2637815..31652938..393674107..5022583984..62925603555
.52515.516133.9090487.134864351.2081832486.33001259193.513205618429
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) +3*a(n-3) +5*a(n-4) +6*a(n-5) +6*a(n-6) +2*a(n-7) for n>8
k=2: [order 8] for n>9
k=3: [order 15] for n>16
k=4: [order 23] for n>25
k=5: [order 43] for n>44
k=6: [order 71] for n>73
EXAMPLE
Some solutions for n=4 k=4
..0..0..0..0..0..1....1..0..0..0..0..0....0..0..1..0..0..0....0..1..0..0..0..0
..0..1..0..0..1..0....0..0..0..1..0..0....0..0..0..0..1..0....0..0..0..1..0..0
..0..0..0..0..0..0....0..1..0..0..0..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..0..0....0..0..0..0..0..0
..0..0..1..0..0..0....0..0..0..0..1..0....1..0..0..0..0..0....1..0..0..0..0..0
..1..0..0..0..0..1....1..0..0..0..0..0....0..0..0..0..1..0....0..0..0..0..1..0
CROSSREFS
Sequence in context: A039381 A043204 A043984 * A259894 A259955 A259887
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jul 10 2015
STATUS
approved