A208381 Number of 5 X n 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.

10, 100, 144, 640, 2176, 7072, 25200, 87040, 296560, 1028128, 3545856, 12198016, 42085264, 145092160, 499958928, 1723635712, 5941670272, 20479942816, 70597050480, 243353573632, 838843117552, 2891546321440, 9967326856704

Offset

1,1

Comments

Row 5 of A208379.

Links

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

Formula

Empirical: a(n) = a(n-1) + 4*a(n-2) + 13*a(n-3) + 8*a(n-4) - 3*a(n-5) + 9*a(n-6) for n>8.

Empirical g.f.: 2*x*(5 + 45*x + 2*x^2 - 17*x^3 - 210*x^4 - 153*x^5 + 81*x^6 - 162*x^7) / (1 - x - 4*x^2 - 13*x^3 - 8*x^4 + 3*x^5 - 9*x^6). - Colin Barker, Jul 02 2018

Example

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

Crossrefs

Cf. A208379.

Sequence in context: A116143 A208497 A207585 * A031187 A029797 A367593

Adjacent sequences: A208378 A208379 A208380 * A208382 A208383 A208384

Keyword

nonn

Author

R. H. Hardin, Feb 25 2012

Status

approved