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

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

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 * A361098 A291713 A370266

Adjacent sequences: A260924 A260925 A260926 * A260928 A260929 A260930

Keyword

nonn,tabl

Author

R. H. Hardin, Aug 04 2015

Status

approved