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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.
0
1, 2, 1, 2, 3, 7, 14, 43, 65, 292, 992, 1154
OFFSET
1,2
COMMENTS
Arg[0] is taken as being equal to 0.
EXAMPLE
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
Sequence in context: A082594 A376050 A051850 * A086880 A120405 A252889
KEYWORD
hard,nonn
AUTHOR
Wouter Meeussen, Nov 28 2002
STATUS
approved