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

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

Author

N. J. A. Sloane

Keywords

• nonn

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.

Crossrefs

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

Programs

PARI

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

Extensions

More terms from Sean A. Irvine, May 15 2015

Name clarified by Andrew Howroyd, Nov 22 2017