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Search: id:A005701
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| A005701 |
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Number of exterior points formed by extending diagonals of n-gon in general position.
(Formerly M2968)
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+0
1
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| 3, 14, 40, 90, 175, 308, 504, 780, 1155, 1650, 2288, 3094, 4095, 5320, 6800, 8568, 10659, 13110, 15960, 19250, 23023, 27324, 32200, 37700, 43875, 50778, 58464, 66990, 76415, 86800, 98208, 110704, 124355
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 74, Problem 8.
D. Gouyou-Beauchamps, Chemins sous-diagonaux et tableau de Young, pp. 112-125 of "Combinatoire Enumerative (Montreal 1985)", Lect. Notes Math. 1234, 1986.
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LINKS
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Index entries for sequences related to Young tableaux.
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FORMULA
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n(n+1)(n+2)(n+5)/12.
G.f.:(x-3)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009]
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MATHEMATICA
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s1=s2=s3=0; lst={}; Do[a=n+(n+1); s1+=a; s2+=s1; s3+=s2; AppendTo[lst, s3], {n, 1, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 04 2009]
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CROSSREFS
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Sequence in context: A000263 A102590 A034130 this_sequence A050297 A117662 A104905
Adjacent sequences: A005698 A005699 A005700 this_sequence A005702 A005703 A005704
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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