A207594 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 1 vertically.

25, 625, 1250, 5000, 18150, 70800, 263550, 1018700, 3824100, 14714500, 55475900, 212837550, 804627850, 3080577400, 11668031250, 44603903700, 169169362450, 645969220100, 2452350886150, 9356569191650, 35546345269650, 135539969562250

Offset

1,1

Comments

Row 7 of A207589

Links

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

Formula

Empirical: a(n) = 25*a(n-2) +2*a(n-3) -199*a(n-4) +632*a(n-6) -30*a(n-7) -879*a(n-8) +28*a(n-9) +548*a(n-10) -139*a(n-12) -4*a(n-13) +10*a(n-14) for n>16

Example

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

Crossrefs

Sequence in context: A207691 A207926 A207698 * A207513 A207687 A207345

Adjacent sequences: A207591 A207592 A207593 * A207595 A207596 A207597

Keyword

nonn

Author

R. H. Hardin, Feb 19 2012

Status

approved