A003455 Number of nonequivalent dissections of an n-gon by nonintersecting diagonals up to rotation. (Formerly M0909)

1, 2, 3, 11, 29, 122, 479, 2113, 9369, 43392, 203595, 975563, 4736005, 23296394, 115811855, 581324861, 2942579633, 15008044522, 77064865555, 398150807179, 2068470765261, 10800665952376, 56658467018647, 298489772155137, 1578702640556193

Offset

3,2

Comments

Total number of dissections of an n-gon into polygons without reflection. - Sean A. Irvine, May 15 2015

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Andrew Howroyd, Table of n, a(n) for n = 3..200

P. Lisonek, Closed forms for the number of polygon dissections, Journal of Symbolic Computation 20 (1995), 595-601.

Ronald C. Read, On general dissections of a polygon, Aequat. math. 18 (1978) 370-388.

Prog

(PARI) \\ See A295495 for DissectionsModCyclic().
DissectionsModCyclic(apply(v->1, [1..30])) \\ Andrew Howroyd, Nov 22 2017

Crossrefs

Cf. A001004, A003454, A003456, A005034, A295224, A295495.

Sequence in context: A202211 A104081 A267902 * A103275 A278209 A195732

Adjacent sequences: A003452 A003453 A003454 * A003456 A003457 A003458

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, May 15 2015

Name clarified by Andrew Howroyd, Nov 22 2017

Status

approved