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A135565
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Number of line segments in regular n-gon with all diagonals drawn.
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1
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0, 1, 3, 8, 20, 42, 91, 136, 288, 390, 715, 756, 1508, 1722, 2835, 3088, 4896, 4320, 7923, 8360, 12180, 12782, 17963, 16344, 25600, 26494, 35451, 36456, 47908, 38310, 63395, 64800, 82368, 84082, 105315, 99972, 132756, 135014, 165243
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| A line segment (or edge) is considered to end at any vertex where two or more chords meet.
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LINKS
| Sequences formed by drawing all diagonals in regular polygon
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FORMULA
| a(n) = A007569(n) + A007678(n) - 1 - Max Alekseyev (maxale(AT)gmail.com)
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CROSSREFS
| Sequences related to chords in a circle: A001006, A054726, A006533, A006561, A006600, A007569, A007678. See also entries for chord diagrams in Index file.
Sequence in context: A027299 A143785 A182735 * A139488 A028307 A027298
Adjacent sequences: A135562 A135563 A135564 * A135566 A135567 A135568
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KEYWORD
| easy,nice,nonn
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AUTHOR
| Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Feb 23 2008
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