A110546 In degrees, values of interior angles of regular polygons whose angles are integers.

60, 90, 108, 120, 135, 140, 144, 150, 156, 160, 162, 165, 168, 170, 171, 172, 174, 175, 176, 177, 178, 179

Offset: 1

Author

Alexandre Wajnberg, Sep 11 2005

Keywords

• easy
• fini
• full
• nonn

Comments

The number of sides for which the interior angles in degrees are integers is given by A018412 (except the first two terms).

Integers of the form (k-2)*180/k where k >= 3. - Jason Yuen, Sep 05 2024

Examples

			a(3)=108, i.e., the value (in degrees) of the interior angles of the third polygon whose angles are integers (the pentagon).
		

Crossrefs

Cf. A069976, A100659, A018412.

Formula

a(n) = (A018412(n+2)-2)*180/A018412(n+2). - Jason Yuen, Sep 05 2024