A077013 Number of different argument values of vector sums generated by n vectors chosen from 2n (equally spaced) points around the unit circle. Arguments are considered different only up to rotation and reflection.

1, 2, 1, 2, 3, 7, 14, 43, 65, 292, 992, 1154

Offset: 1

Author

Wouter Meeussen, Nov 28 2002

Keywords

• hard
• nonn

Comments

Arg[0] is taken as being equal to 0.

Examples

			The arguments up to rotation and reflection for n=6 are {0, 0.17013, 0.206867, 0.293133, 0.32987, 0.385502, 0.5} or exactly {0, 1/2, 5/2-(6*ArcTan[2])/Pi, 5/2-(6*ArcTan[1+2/Sqrt[3]])/Pi, -3/2-(6*ArcTan[4-3*Sqrt[3]])/Pi, 3/2-(6*ArcTan[6- 3*Sqrt[3]])/Pi, -5/2+(6*ArcTan[4+3*Sqrt[3]])/Pi }
		

Crossrefs

Cf. A077078, A006840.