A188988 Number of n X 5 binary arrays without the pattern 0 0 1 antidiagonally or horizontally.

20, 400, 5304, 68064, 852448, 10682432, 133744640, 1674569728, 20965958400, 262498839552, 3286544012800, 41148269700608, 515185556441600, 6450238643180032, 80758433426035200, 1011113686205526528

Offset

1,1

Comments

Column 5 of A188992.

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 13*a(n-1) +4*a(n-2) -132*a(n-3) +60*a(n-4) +320*a(n-5) -240*a(n-6) for n>8.

Empirical g.f.: 4*x*(5 + 35*x + 6*x^2 + 38*x^3 - 500*x^4 - 480*x^5 + 1560*x^6 - 576*x^7) / ((1 - 2*x)*(1 + 2*x)*(1 - 13*x + 80*x^3 - 60*x^4)). - Colin Barker, May 01 2018

Example

Some solutions for 3 X 5:
..1..1..1..1..0....1..0..1..1..1....1..1..1..1..1....1..1..1..1..0
..0..1..0..1..1....0..1..1..0..1....1..1..0..0..0....0..1..0..1..0
..0..1..0..0..0....1..0..0..0..0....0..1..1..1..1....0..1..1..0..0

Crossrefs

Cf. A188992.

Sequence in context: A223988 A189698 A209433 * A019319 A083276 A057745

Adjacent sequences: A188985 A188986 A188987 * A188989 A188990 A188991

Keyword

nonn

Author

R. H. Hardin, Apr 15 2011

Status

approved