A207302 Number of n X 5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 0 vertically.

13, 169, 665, 1759, 3773, 7093, 12169, 19515, 29709, 43393, 61273, 84119, 112765, 148109, 191113, 242803, 304269, 376665, 461209, 559183, 671933, 800869, 947465, 1113259, 1299853, 1508913, 1742169, 2001415, 2288509, 2605373, 2953993, 3336419

Offset

1,1

Comments

Column 5 of A207305.

Links

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

Formula

Empirical: a(n) = (8/3)*n^4 + (49/3)*n^3 + (16/3)*n^2 - (43/3)*n + 3.

Conjectures from Colin Barker, Jun 21 2018: (Start)

G.f.: x*(13 + 104*x - 50*x^2 - 6*x^3 + 3*x^4) / (1 - x)^5.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n>5.

(End)

Example

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

Crossrefs

Cf. A207305.

Sequence in context: A207166 A207365 A208010 * A207915 A207108 A207464

Adjacent sequences: A207299 A207300 A207301 * A207303 A207304 A207305

Keyword

nonn

Author

R. H. Hardin, Feb 16 2012

Status

approved