A188862 Number of n X 5 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.

32, 99, 178, 259, 340, 421, 502, 583, 664, 745, 826, 907, 988, 1069, 1150, 1231, 1312, 1393, 1474, 1555, 1636, 1717, 1798, 1879, 1960, 2041, 2122, 2203, 2284, 2365, 2446, 2527, 2608, 2689, 2770, 2851, 2932, 3013, 3094, 3175, 3256, 3337, 3418, 3499, 3580

Offset

1,1

Comments

Column 5 of A188866.

Links

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

Formula

Empirical: a(n) = 81*n - 65 for n>2.

Empirical g.f.: x*(32 + 35*x + 12*x^2 + 2*x^3) / (1 - x)^2. - Colin Barker, May 01 2018

Example

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

Crossrefs

Cf. A188866.

Sequence in context: A273554 A218901 A192293 * A228686 A172517 A194645

Adjacent sequences: A188859 A188860 A188861 * A188863 A188864 A188865

Keyword

nonn

Author

R. H. Hardin, Apr 12 2011

Status

approved