A260980 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101

48, 91, 91, 204, 133, 204, 483, 239, 239, 483, 1146, 481, 372, 481, 1146, 2755, 925, 732, 732, 925, 2755, 6526, 1873, 1288, 1513, 1288, 1873, 6526, 15419, 3683, 2576, 2714, 2714, 2576, 3683, 15419, 36518, 7321, 4688, 5506, 4592, 5506, 4688, 7321, 36518

Offset

1,1

Comments

Table starts

....48....91...204...483...1146...2755...6526..15419..36518...86831..206258

....91...133...239...481....925...1873...3683...7321..14439...28529...56363

...204...239...372...732...1288...2576...4688...8760..15964...30062...55496

...483...481...732..1513...2714...5506...9728..18578..33658...66832..122644

..1146...925..1288..2714...4592...9144..14672..29768..50432..101372..171124

..2755..1873..2576..5506...9144..18706..30418..62878.107802..218342..372200

..6526..3683..4688..9728..14672..30418..45504..95248.145748..298612..459656

.15419..7321..8760.18578..29768..62878..95248.195280.303930..632432.1010202

.36518.14439.15964.33658..50432.107802.145748.303930.441072..950478.1351340

.86831.28529.30062.66832.101372.218342.298612.632432.950478.2093846.3098000

Links

R. H. Hardin, Table of n, a(n) for n = 1..923

Formula

Empirical for column k:

k=1: [linear recurrence of order 8] for n>9

k=2: [order 11] for n>14

k=3: [order 14] for n>18

k=4: [order 19] for n>26

k=5: [order 28] for n>34

k=6: [order 45] for n>51

k=7: [order 53] for n>63

Example

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

Crossrefs

Sequence in context: A224546 A247720 A204647 * A260070 A260973 A260063

Adjacent sequences: A260977 A260978 A260979 * A260981 A260982 A260983

Keyword

nonn,tabl

Author

R. H. Hardin, Aug 06 2015

Status

approved