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A003451 Number of dissections of a polygon.
(Formerly M3330)
+0
3
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)
OFFSET

5,2

COMMENT

a(n)=A006584(n+3)-A027656(n) - Yosu Yurramendi (yosu.yurramendi(AT)ehu.es), Aug 07 2008

REFERENCES

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.

FORMULA

G.f.: (1 + 2x - x^2 ) / (1 - x)^4 (1 + x)^2.

CROSSREFS

Cf. A006584, A027656.

Adjacent sequences: A003448 A003449 A003450 this_sequence A003452 A003453 A003454

Sequence in context: A137932 A140466 A022560 this_sequence A013934 A050470 A138501

KEYWORD

nonn

AUTHOR

njas

page 1

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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