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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 17 06:16 EDT 2021. Contains 347478 sequences. (Running on oeis4.)