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Search: id:A033281
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| A033281 |
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Number of diagonal dissections of a convex (n+9)-gon into n+1 regions. |
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+0
5
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| 1, 35, 616, 7644, 76440, 659736, 5116320, 36581688, 245402157, 1563837275, 9553624080, 56338955400, 322432175520, 1798432526880, 9809631964800, 52470868368240, 275857874141850, 1428186531145374
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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+1,1,1,1,1,1,1) (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+6, 6)*binomial(2n+8, n)/(n+1).
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CROSSREFS
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Sequence in context: A107915 A114342 A010951 this_sequence A126925 A010987 A112504
Adjacent sequences: A033278 A033279 A033280 this_sequence A033282 A033283 A033284
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KEYWORD
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nonn
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AUTHOR
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njas
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