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A077013
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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.
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0
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1, 2, 1, 2, 3, 7, 14, 43, 65, 292, 992, 1154
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Arg[0] is taken as being equal to 0.
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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 }
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CROSSREFS
| Cf. A077078, A006840.
Sequence in context: A122086 A082594 A051850 * A086880 A120405 A155004
Adjacent sequences: A077010 A077011 A077012 * A077014 A077015 A077016
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KEYWORD
| hard,nonn
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AUTHOR
| Wouter Meeussen (wouter.meeussen(AT)pandora.be), Nov 28 2002
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