A244512 The angle of the center of each numbered sector of a standard competition dartboard.

288, 54, 90, 324, 252, 0, 126, 162, 216, 18, 180, 234, 342, 198, 36, 144, 72, 306, 108, 270

Offset: 1

Author

Philip Mizzi, Jun 29 2014

Keywords

• nonn
• fini
• full

Comments

A standard dartboard is divided into 20 sectors each subtending an angle of 18 degrees.

The sequence is generated by considering the positive x-axis to be running through the center of the sector numbered "6" and defining this to be 0 degrees. The angular position of each sector is then defined relative to this position through a clockwise rotation of a line collinear with x until the line divides the sector of interest. The numbers are then sectors are ordered from 1 to 20 generating the full sequence.

It is a mere formality to fully define the bounds of each sector by adding and subtracting 9 degrees from each of the numbers in the sequence.

Links

• Wikipedia, Darts

Crossrefs

Cf. A003833, A008575.

Formula

n = A003833(a(n)/18+6). - Jens Kruse Andersen, Jul 19 2014

Extensions

Incorrect term removed by Jens Kruse Andersen, Jul 19 2014