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Search: id:A002058
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| A002058 |
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Number of partitions of a polygon by number of parts.
(Formerly M2069 N0817)
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+0
3
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| 2, 14, 72, 330, 1430, 6006, 24752, 100776, 406980, 1634380, 6537520, 26075790, 103791870, 412506150, 1637618400, 6495886320, 25751549340, 102042235620, 404225281200, 1600944863700, 6339741660252, 25103519174844, 99399793096352
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OFFSET
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5,1
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REFERENCES
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A. Cayley, On the partitions of a polygon, Proc. London Math. Soc., 22 (1891), 237-262 = Collected Mathematical Papers. Vols. 1-13, Cambridge Univ. Press, London, 1889-1897, Vol. 13, pp. 93ff.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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A. Cayley, On the partitions of a polygon, Collected Mathematical Papers. Vols. 1-13, Cambridge Univ. Press, London, 1889-1897, Vol. 13, pp. 93ff.
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FORMULA
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a(n) = 2 binomial[2n-5,n-5] - David Callan (callan(AT)stat.wisc.edu), Mar 30 2007
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CROSSREFS
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Cf. A002059, A002060.
Sequence in context: A086243 A072888 A094583 this_sequence A095933 A043011 A138156
Adjacent sequences: A002055 A002056 A002057 this_sequence A002059 A002060 A002061
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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