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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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4
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1, 35, 616, 7644, 76440, 659736, 5116320, 36581688, 245402157, 1563837275, 9553624080, 56338955400, 322432175520, 1798432526880, 9809631964800, 52470868368240, 275857874141850, 1428186531145374
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
| 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
| a(n)=binomial(n+6, 6)*binomial(2n+8, n)/(n+1).
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CROSSREFS
| Sequence in context: A107915 A114342 A010951 * A161648 A162149 A162384
Adjacent sequences: A033278 A033279 A033280 * A033282 A033283 A033284
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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