A260248 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001

48, 99, 99, 256, 213, 256, 635, 551, 551, 635, 1598, 1235, 1476, 1235, 1598, 4027, 3026, 3287, 3287, 3026, 4027, 10110, 7822, 8242, 5733, 8242, 7822, 10110, 25421, 18837, 22944, 14045, 14045, 22944, 18837, 25421, 63884, 45114, 56634, 42143, 38280, 42143

Offset

1,1

Comments

Table starts

.....48.....99....256.....635....1598.....4027....10110....25421.....63884

.....99....213....551....1235....3026.....7822....18837....45114....113177

....256....551...1476....3287....8242....22944....56634...134576....355620

....635...1235...3287....5733...14045....42143....85491...178543....492457

...1598...3026...8242...14045...38280...122048...238852...523742...1565104

...4027...7822..22944...42143..122048...416911...906498..2164027...6912900

..10110..18837..56634...85491..238852...906498..1606456..3601412..12214696

..25421..45114.134576..178543..523742..2164027..3601412..7479479..27027264

..63884.113177.355620..492457.1565104..6912900.12214696.27027264.103497076

.160475.278981.930398.1191315.3971668.19008695.29652462.72093352.300135936

Links

R. H. Hardin, Table of n, a(n) for n = 1..420

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) -2*a(n-2) +9*a(n-3) -4*a(n-4) +9*a(n-5) -9*a(n-6) for n>7

k=2: [order 14] for n>15

k=3: [order 29] for n>30

k=4: [order 45] for n>47

k=5: [order 86] for n>89

Example

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

Crossrefs

Sequence in context: A044186 A044567 A070258 * A260001 A260241 A259994

Adjacent sequences: A260245 A260246 A260247 * A260249 A260250 A260251

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 20 2015

Status

approved