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

Author

R. H. Hardin, Apr 12 2011

Keywords

• nonn

Comments

Column 7 of A188866.

Examples

			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
		

Links

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

Crossrefs

Cf. A188866.

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