A207021 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically

13, 169, 624, 1586, 3315, 6123, 10374, 16484, 24921, 36205, 50908, 69654, 93119, 122031, 157170, 199368, 249509, 308529, 377416, 457210, 549003, 653939, 773214, 908076, 1059825, 1229813, 1419444, 1630174, 1863511, 2121015, 2404298, 2715024

Offset

1,1

Comments

Column 5 of A207024

Links

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

Formula

Empirical: a(n) = (13/6)*n^4 + 13*n^3 + (52/3)*n^2 - (39/2)*n.

Empirical G.f.: 13*x*(1+8*x-7*x^2+2*x^3)/(1-x)^5. [Colin Barker, May 22 2012]

Example

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

Crossrefs

Sequence in context: A207910 A208422 A207787 * A207166 A207365 A208010

Adjacent sequences: A207018 A207019 A207020 * A207022 A207023 A207024

Keyword

nonn

Author

R. H. Hardin Feb 14 2012

Status

approved