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Search: id:A027927
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| 1, 2, 5, 12, 26, 51, 92, 155, 247, 376, 551, 782, 1080, 1457, 1926, 2501, 3197, 4030, 5017, 6176, 7526, 9087, 10880, 12927, 15251, 17876, 20827, 24130, 27812, 31901, 36426, 41417, 46905, 52922, 59501, 66676
(list; graph; listen)
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OFFSET
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2,2
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COMMENT
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a(n) = number of plane regions after drawing (general position) convex n-gon and all diagonals. - Len Smiley (smiley(AT)math.uaa.alaska.edu), Oct 19 2001
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FORMULA
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a(n)= 1 + binomial(n, 4) + binomial(n-1, 2)
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EXAMPLE
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a(2)=1 (segment traced twice has only exterior)
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CROSSREFS
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Cf. A006522 (does not count exterior of n-gon)
Sequence in context: A116715 A117177 A132977 this_sequence A116717 A116725 A026622
Adjacent sequences: A027924 A027925 A027926 this_sequence A027928 A027929 A027930
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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