A217745 Number of regions in the exterior of a regular n-gon with all diagonals drawn.

1, 4, 10, 18, 35, 64, 117, 190, 330, 492, 780, 1050, 1605, 2080, 2941

Offset

3,2

Links

Table of n, a(n) for n=3..17.

Example

a(3) = 1 since the equilateral triangle has no diagonals and therefore one exterior region (with infinite area).
a(4) = 4 since the two diagonals of the square divide the exterior in four regions (with infinite area).
a(5) = 10 since the ten diagonals of the regular pentagon divide the exterior in ten regions (with infinite area) of two different shapes.

Crossrefs

Cf. A007678.

Sequence in context: A050188 A062361 A038416 * A213949 A009913 A063591

Adjacent sequences: A217742 A217743 A217744 * A217746 A217747 A217748

Keyword

nonn

Author

Martin Renner, Mar 23 2013

Status

approved