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Search: id:A003451
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| A003451 |
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Number of dissections of a polygon.
(Formerly M3330)
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+0
3
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| 1, 4, 8, 16, 25, 40, 56, 80, 105, 140, 176, 224, 273, 336, 400, 480, 561, 660, 760, 880, 1001, 1144, 1288, 1456, 1625, 1820, 2016, 2240, 2465, 2720, 2976, 3264, 3553, 3876, 4200, 4560, 4921, 5320, 5720, 6160, 6601, 7084, 7568, 8096, 8625, 9200, 9776, 10400
(list; graph; listen)
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OFFSET
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5,2
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COMMENT
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a(n)=A006584(n+3)-A027656(n) - Yosu Yurramendi (yosu.yurramendi(AT)ehu.es), Aug 07 2008
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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).
P. Lisonek, Closed forms for the number of polygon dissections. Journal of Symbolic Computation 20 (1995), 595-601.
R. C. Read, On general dissections of a polygon, Aequat. Math. 18 (1978), 370-388.
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FORMULA
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G.f.: (1 + 2x - x^2 ) / (1 - x)^4 (1 + x)^2.
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CROSSREFS
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Cf. A006584, A027656.
Sequence in context: A140466 A161226 A022560 this_sequence A013934 A167189 A050470
Adjacent sequences: A003448 A003449 A003450 this_sequence A003452 A003453 A003454
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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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