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A261709 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00000111. 6
48, 76, 76, 172, 134, 172, 338, 270, 270, 338, 628, 462, 468, 462, 628, 1298, 892, 662, 662, 892, 1298, 2752, 1751, 1168, 675, 1168, 1751, 2752, 5526, 3299, 2372, 734, 734, 2372, 3299, 5526, 10972, 6324, 3700, 1443, 676, 1443, 3700, 6324, 10972, 22462 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....48....76...172..338..628.1298.2752.5526.10972.22462.46160.93354.188556

....76...134...270..462..892.1751.3299.6324.12389.23874.46352.90232.175147

...172...270...468..662.1168.2372.3700.6158.11812.19350.31112.58428..98160

...338...462...662..675..734.1443.1416.1486..2556..3004..3232..4244...7152

...628...892..1168..734..676.1818..984..748..1096..1168...880...958...2420

..1298..1751..2372.1443.1818.4867.1294..748...968..1112...900..1504...4076

..2752..3299..3700.1416..984.1294..744..632...812...874...656...764...1052

..5526..6324..6158.1486..748..748..632..536...560...672...608...648....722

.10972.12389.11812.2556.1096..968..812..560...624...580...732...696....732

.22462.23874.19350.3004.1168.1112..874..672...580...628...702...654....668

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..3274

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 9] for n>11

k=2: [order 15] for n>17

k=3: [order 14] for n>20

k=4: a(n) = 3*a(n-7) +5*a(n-10) +a(n-13) -a(n-14) -a(n-17) -2*a(n-21) for n>27

k=5: a(n) = 2*a(n-7) -2*a(n-21) +a(n-28) for n>34

k=6: a(n) = a(n-14) for n>21

k=7: a(n) = a(n-14) for n>21

Empirical periodic continuations for column k:

k=6: period of length 14 starting at n=8: 748 968 1112 900 1504 4076 822 722 1018 1304 1188 1852 4804 1174

k=7: period of length 14 starting at n=8: 632 812 874 656 764 1052 600 540 692 824 688 780 1150 704

Empirical periodic continuations for diagonal:

diagonal: period of length 14 starting at n=8: 536 624 628 712 676 832 456 568 1036 704 616 696 2288 664

Empirical periodic tile pattern from columns 8-21 and rows 8-21:

..536..560..672..608..648..722..660..552..602..728..596..552..620..612

..560..624..580..732..696..732..686..604..830..856.1110..824..780..772

..672..580..628..702..654..668..588..516..552..666..756..760..864..814

..608..732..702..712..852..824..538..584..740..700..664..552..688..616

..648..696..654..852..676.1000..640..780.1364..878..942..686.1010..704

..722..732..668..824.1000..832..580..696..782..860.1112.1348.1560..932

..660..686..588..538..640..580..456..568..566..538..570..656..678..560

..552..604..516..584..780..696..568..568..646..572..572..684..594..520

..602..830..552..740.1364..782..566..646.1036..828.1118.1492..830..652

..728..856..666..700..878..860..538..572..828..704..754..984.1056..764

..596.1110..756..664..942.1112..570..572.1118..754..616..642..976..648

..552..824..760..552..686.1348..656..684.1492..984..642..696.1358..720

..620..780..864..688.1010.1560..678..594..830.1056..976.1358.2288.1030

..612..772..814..616..704..932..560..520..652..764..648..720.1030..664

EXAMPLE

Some solutions for n=7 k=4

..0..0..0..0..0..1....1..0..1..0..1..0....1..0..0..1..0..0....1..0..0..0..0..0

..1..0..0..0..1..0....0..1..0..0..0..0....0..0..0..0..0..0....0..1..0..0..0..1

..0..1..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....0..0..0..0..1..0....0..0..1..0..0..1....0..0..0..0..0..0

..0..0..0..0..1..0....1..0..0..1..0..0....0..1..0..0..0..0....0..1..0..0..0..0

..1..0..0..1..0..0....0..0..0..0..0..0....0..0..0..0..0..1....0..0..1..0..0..1

..0..0..0..0..0..0....1..0..0..0..0..0....0..0..0..0..1..0....0..0..0..0..0..0

..0..0..0..0..0..0....0..0..0..1..0..0....0..1..0..0..0..0....0..0..0..0..0..1

..0..0..1..0..0..1....1..0..0..0..1..0....1..0..0..0..0..0....0..1..0..0..1..1

CROSSREFS

Sequence in context: A005276 A328370 A143722 * A261704 A260370 A260363

Adjacent sequences:  A261706 A261707 A261708 * A261710 A261711 A261712

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Aug 28 2015

STATUS

approved

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Last modified May 27 04:33 EDT 2020. Contains 334649 sequences. (Running on oeis4.)