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