A259957 Number of (n+2) X (3+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001001.

155, 439, 1603, 5449, 18681, 64891, 222813, 764865, 2637815, 9090487, 31281933, 107674395, 370788133, 1276814309, 4396089911, 15135449051, 52112945503, 179433951141, 617811988681, 2127175449173, 7324071255063, 25217614284475

Offset

1,1

Comments

Column 3 of A259962.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) +32*a(n-4) +44*a(n-5) +37*a(n-6) -32*a(n-7) -81*a(n-8) -12*a(n-9) +47*a(n-10) +38*a(n-11) +8*a(n-12) -6*a(n-13) -4*a(n-14) -4*a(n-15) for n>16.

Example

Some solutions for n=4
..0..0..0..0..1....1..0..0..0..0....0..0..0..0..1....0..1..0..0..1
..0..0..0..0..0....0..1..0..0..0....0..0..0..1..0....0..0..0..0..0
..1..0..0..1..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..0....0..0..0..0..0....0..0..0..1..0
..0..0..0..0..0....0..0..1..0..0....0..0..0..0..0....0..1..0..0..0
..0..1..0..0..0....0..0..0..0..0....1..0..0..0..0....1..0..0..0..0

Crossrefs

Cf. A259962.

Sequence in context: A119609 A063340 A105986 * A129640 A028382 A250936

Adjacent sequences: A259954 A259955 A259956 * A259958 A259959 A259960

Keyword

nonn

Author

R. H. Hardin, Jul 10 2015

Status

approved