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A260927 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101 9
36, 48, 48, 104, 68, 104, 186, 146, 146, 186, 297, 279, 401, 279, 297, 491, 468, 896, 896, 468, 491, 883, 831, 1800, 2208, 1800, 831, 883, 1489, 1528, 3358, 4522, 4522, 3358, 1528, 1489, 2534, 2750, 7680, 10617, 11608, 10617, 7680, 2750, 2534, 4289, 4874 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...36...48...104....186.....297.....491......883......1489......2534.......4289

...48...68...146....279.....468.....831.....1528......2750......4874.......8781

..104..146...401....896....1800....3358.....7680.....14924.....32431......62992

..186..279...896...2208....4522...10617....25690.....58606....134296.....314471

..297..468..1800...4522...11608...27582....82766....191474....543551....1291912

..491..831..3358..10617...27582...81848...253264....736065...2137558....6366003

..883.1528..7680..25690...82766..253264...971381...2901724..10470430...32212024

.1489.2750.14924..58606..191474..736065..2901724..10662976..39563384..150551285

.2534.4874.32431.134296..543551.2137558.10470430..39563384.181422568..711441140

.4289.8781.62992.314471.1291912.6366003.32212024.150551285.711441140.3460352248

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1200

FORMULA

Empirical for column k:

k=1: a(n) = a(n-2) +3*a(n-4) +2*a(n-5) +2*a(n-6) +3*a(n-7) +a(n-8) for n>10

k=2: a(n) = a(n-2) +6*a(n-4) +4*a(n-6) -a(n-8) for n>10

k=3: a(n) = a(n-2) +11*a(n-4) +13*a(n-6) -2*a(n-8) -2*a(n-10) +4*a(n-12) for n>15

k=4: [order 20] for n>22

k=5: [order 27] for n>28

k=6: [order 40] for n>42

k=7: [order 54] for n>59

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A167310 A083674 A160063 * A291713 A287840 A244326

Adjacent sequences:  A260924 A260925 A260926 * A260928 A260929 A260930

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Aug 04 2015

STATUS

approved

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Last modified December 4 21:58 EST 2020. Contains 338941 sequences. (Running on oeis4.)