A208289 Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 0 vertically.

10, 100, 390, 2090, 9900, 49130, 239490, 1175440, 5754050, 28195750, 138110340, 676601470, 3314477450, 16237031560, 79541647910, 389658289890, 1908854053840, 9351079145150, 45808984336150, 224408665354600, 1099331244406030

Offset

1,1

Comments

Row 5 of A208287.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) + 10*a(n-2) - 2*a(n-3) - 7*a(n-4) + a(n-6).

Empirical g.f.: 10*x*(1 + 7*x - x^2 - 6*x^3 + x^5) / (1 - 3*x - 10*x^2 + 2*x^3 + 7*x^4 - x^6). - Colin Barker, Jun 30 2018

Example

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

Crossrefs

Cf. A208287.

Sequence in context: A207405 A207706 A207251 * A208365 A208144 A207713

Adjacent sequences: A208286 A208287 A208288 * A208290 A208291 A208292

Keyword

nonn

Author

R. H. Hardin, Feb 25 2012

Status

approved