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A259770 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000101 6
32, 49, 49, 104, 87, 104, 201, 167, 167, 201, 376, 299, 256, 299, 376, 745, 564, 385, 385, 564, 745, 1494, 1086, 612, 451, 612, 1086, 1494, 2897, 2045, 1108, 474, 474, 1108, 2045, 2897, 5610, 3870, 1708, 835, 400, 835, 1708, 3870, 5610, 11065, 7371, 2700, 872 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....32....49..104..201.376..745.1494.2897.5610.11065.21780.42461.82984.162977

....49....87..167..299.564.1086.2045.3870.7371.14001.26647.50766.96574.183815

...104...167..256..385.612.1108.1708.2700.4660..7378.11350.19232.31280..48032

...201...299..385..451.474..835..872..968.1532..1794..2116..2746..4218...4546

...376...564..612..474.400..798..524..450..588...644...540...568..1060....716

...745..1086.1108..835.798.1805..654..436..544...634...528...688..1512....478

..1494..2045.1708..872.524..654..480..392..492...536...424...420...532....402

..2897..3870.2700..968.450..436..392..336..368...428...404...410...430....416

..5610..7371.4660.1532.588..544..492..368..384...362...456...404...404....424

.11065.14001.7378.1794.644..634..536..428..362...368...438...398...404....366

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1248

FORMULA

Empirical for column k:

k=1: a(n) = a(n-2) +2*a(n-3) +6*a(n-4) +2*a(n-5) -a(n-6) +2*a(n-7) -a(n-8) for n>9

k=2: [order 11] for n>12

k=3: [order 14] for n>17

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>24

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-1) -a(n-2) +a(n-3) -a(n-4) +a(n-5) -a(n-6) +a(n-7) -a(n-8) +a(n-9) -a(n-10) +a(n-11) -a(n-12) +a(n-13) for n>20

Empirical periodic continuations for column k:

k=6: period of length 14 starting at n=8: 436 544 634 528 688 1512 478 442 570 726 674 764 1724 590

k=7: period of length 14 starting at n=8: 392 492 536 424 420 532 402 344 420 500 416 412 566 448

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A236330 A045023 A222300 * A066472 A140172 A259765

Adjacent sequences:  A259767 A259768 A259769 * A259771 A259772 A259773

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 04 2015

STATUS

approved

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Last modified January 20 05:36 EST 2020. Contains 331067 sequences. (Running on oeis4.)