A188863 Number of n X 6 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.

64, 239, 466, 707, 950, 1193, 1436, 1679, 1922, 2165, 2408, 2651, 2894, 3137, 3380, 3623, 3866, 4109, 4352, 4595, 4838, 5081, 5324, 5567, 5810, 6053, 6296, 6539, 6782, 7025, 7268, 7511, 7754, 7997, 8240, 8483, 8726, 8969, 9212, 9455, 9698, 9941, 10184

Offset

1,1

Comments

Column 6 of A188866.

Links

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

Formula

Empirical: a(n) = 243*n - 265 for n>3.

Empirical g.f.: x*(64 + 111*x + 52*x^2 + 14*x^3 + 2*x^4) / (1 - x)^2. - Colin Barker, May 01 2018

Example

Some solutions for 3 X 6:
..1..1..1..0..1..1....1..0..0..0..0..0....1..1..1..1..1..0....1..1..1..1..1..1
..0..0..0..0..0..0....0..0..0..0..0..0....1..0..1..0..0..0....0..1..1..1..1..1
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..1..1..0

Crossrefs

Cf. A188866.

Sequence in context: A228802 A222547 A218524 * A228687 A349109 A223332

Adjacent sequences: A188860 A188861 A188862 * A188864 A188865 A188866

Keyword

nonn

Author

R. H. Hardin, Apr 12 2011

Status

approved