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Search: id:A033280
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| A033280 |
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Number of diagonal dissections of a convex (n+8)-gon into n+1 regions. |
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+0
5
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| 1, 27, 385, 4004, 34398, 259896, 1790712, 11511720, 70114902, 409003595, 2303105805, 12593413560, 67173369900, 350777861280, 1798432526880, 9073909567440, 45140379405030, 221768094898350, 1077403874372826
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Number of standard tableaux of shape (n+1,n+1,1,1,1,1,1) (see Stanley reference). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 20 2004
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REFERENCES
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D. Beckwith, Legendre polynomials and polygon dissections?, Amer. Math. Monthly, 105 (1998), 256-257.
R. P. Stanley, Polygon dissections and standard Young tableaux, J. Comb. Theory, Ser. A, 76, 175-177, 1996.
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FORMULA
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a(n)=binomial(n+5, 5)*binomial(2n+7, n)/(n+1).
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CROSSREFS
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Sequence in context: A010979 A022591 A000535 this_sequence A125462 A036222 A022655
Adjacent sequences: A033277 A033278 A033279 this_sequence A033281 A033282 A033283
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KEYWORD
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nonn
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AUTHOR
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njas
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