A259952 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101

34, 60, 60, 156, 170, 156, 365, 549, 549, 365, 801, 1507, 2438, 1507, 801, 1825, 4128, 8699, 8699, 4128, 1825, 4272, 11933, 30351, 35765, 30351, 11933, 4272, 9840, 34337, 115410, 141619, 141619, 115410, 34337, 9840, 22444, 97374, 438353, 642779, 631626

Offset

1,1

Comments

Table starts

....34.....60......156.......365........801........1825.........4272

....60....170......549......1507.......4128.......11933........34337

...156....549.....2438......8699......30351......115410.......438353

...365...1507.....8699.....35765.....141619......642779......2922457

...801...4128....30351....141619.....631626.....3451108.....18564547

..1825..11933...115410....642779....3451108....23837974....159480543

..4272..34337...438353...2922457...18564547...159480543...1328499316

..9840..97374..1615572..12595119...92159926...966996539...9776128436

.22444.277073..5983278..54554391..465579244..6037654361..74163783119

.51509.791655.22387088.241207419.2426793925.39151910960.592385188191

Links

R. H. Hardin, Table of n, a(n) for n = 1..480

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2) +2*a(n-3) +6*a(n-4) -a(n-6) +a(n-7) -a(n-8) for n>9

k=2: [order 9] for n>10

k=3: [order 16] for n>17

k=4: [order 24] for n>27

k=5: [order 40] for n>41

k=6: [order 67] for n>71

Example

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

Crossrefs

Sequence in context: A108610 A261314 A119454 * A259945 A303239 A280931

Adjacent sequences: A259949 A259950 A259951 * A259953 A259954 A259955

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 10 2015

Status

approved