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

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

R. H. Hardin, Table of n, a(n) for n = 1..449

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

Adjacent sequences: A259959 A259960 A259961 * A259963 A259964 A259965

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 10 2015

Status

approved