A290571 Number of dissections of an n-gon into 3- and 5-gons counted up to rotations and reflections.

1, 1, 2, 4, 7, 22, 60, 208, 695, 2566, 9451, 36158, 139574, 548347, 2174801, 8719651, 35244472, 143581782, 588858667, 2430036786, 10083626092, 42055927173, 176217259551, 741517642476, 3132564196880, 13281805256068, 56503895845238, 241135999611542

Offset: 3

Author

Evgeniy Krasko, Sep 03 2017

Keywords

• nonn

Examples

			For a(5) = 2 the dissections of a pentagon are: a dissection into 3 triangles; a dissection into one pentagon.
		

Links

• Andrew Howroyd, Table of n, a(n) for n = 3..200
• E. Krasko, A. Omelchenko, Brown's Theorem and its Application for Enumeration of Dissections and Planar Trees, The Electronic Journal of Combinatorics, 22 (2015), #P1.17.

Crossrefs

Cf. A001004, A290646, A295260.

Programs

PARI

\\ See A295419 for DissectionsModDihedral().
DissectionsModDihedral(apply(v->v==3||v==5, [1..25])) \\ Andrew Howroyd, Nov 22 2017

Extensions

Terms a(16) and beyond from Andrew Howroyd, Nov 22 2017