A208030 Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 0 1 vertically.

13, 169, 741, 4823, 26845, 158847, 917293, 5349227, 31070195, 180762387, 1050937017, 6111802359, 35539343255, 206667375733, 1201779520773, 6988465966781, 40638445631355, 236315996095075, 1374196381175527

Offset

1,1

Comments

Row 5 of A208028.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 3*a(n-1) + 19*a(n-2) - 9*a(n-3) - 42*a(n-4) + 31*a(n-5) + 3*a(n-6) - 4*a(n-7).

Empirical g.f.: 13*x*(1 + 10*x - x^2 - 38*x^3 + 28*x^4 + 3*x^5 - 4*x^6) / ((1 - x)*(1 - 2*x - 21*x^2 - 12*x^3 + 30*x^4 - x^5 - 4*x^6)). - Colin Barker, Jun 26 2018

Example

Some solutions for n=4:
..0..1..1..0....0..1..1..0....1..1..1..0....0..1..1..1....0..1..0..0
..1..0..1..0....0..1..0..1....0..1..0..0....1..0..1..0....1..1..1..0
..1..0..1..1....1..1..0..1....0..1..0..1....1..0..1..0....1..1..0..1
..1..1..1..1....1..0..1..0....1..0..1..0....0..1..0..1....1..1..0..0
..1..1..1..1....1..0..1..0....1..0..1..0....0..1..0..0....1..1..1..0

Crossrefs

Cf. A208028.

Sequence in context: A207497 A207957 A208041 * A206990 A264367 A015961

Adjacent sequences: A208027 A208028 A208029 * A208031 A208032 A208033

Keyword

nonn

Author

R. H. Hardin, Feb 22 2012

Status

approved