A188864 Number of n X 7 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.

128, 577, 1220, 1931, 2658, 3387, 4116, 4845, 5574, 6303, 7032, 7761, 8490, 9219, 9948, 10677, 11406, 12135, 12864, 13593, 14322, 15051, 15780, 16509, 17238, 17967, 18696, 19425, 20154, 20883, 21612, 22341, 23070, 23799, 24528, 25257, 25986, 26715

Offset

1,1

Comments

Column 7 of A188866.

Links

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

Formula

Empirical: a(n) = 729*n - 987 for n>4.

Empirical g.f.: x*(128 + 321*x + 194*x^2 + 68*x^3 + 16*x^4 + 2*x^5) / (1 - x)^2. - Colin Barker, May 01 2018

Example

Some solutions for 3 X 7:
..1..1..1..1..1..1..1....1..1..1..1..1..1..1....1..1..1..1..1..1..1
..1..1..1..1..1..1..1....1..1..0..1..1..1..1....1..1..1..1..1..1..1
..1..1..1..1..1..1..0....0..0..0..0..0..1..1....1..1..0..0..1..1..1

Crossrefs

Cf. A188866.

Sequence in context: A369638 A223316 A123293 * A228688 A231529 A197708

Adjacent sequences: A188861 A188862 A188863 * A188865 A188866 A188867

Keyword

nonn

Author

R. H. Hardin, Apr 12 2011

Status

approved