A292615 Number of maximal cones in the prime degree p>2 superelliptic locus of the moduli space of tropical curves of genus (p-1)(n/2-1) coming from coverings with n ramification points

2, 2, 7, 11, 34, 80, 242, 682, 2146, 6624, 21447

Offset

4,1

Comments

a(n) is also the sum of the number of spanning forests over all trees with maximum vertex degree 3 with n-3 edges such that there is no vertex of degree 2 in the forest (all vertices in the forest have degree 0, 1, or 3). We can prove that this is correct.

Links

Table of n, a(n) for n=4..14.

M. Brandt and P. A. Helminck, Tropical superelliptic curves, arXiv:1709.05761 [math.AG], 2017. See Table 1 Column 2 p. 14.

Example

For n=6, the corresponding tropical curves are given in the top row of figure 6 on page 13 of the Brandt/Helminck reference.

Crossrefs

Sequence in context: A079476 A005298 A063692 * A320168 A123209 A123604

Adjacent sequences: A292612 A292613 A292614 * A292616 A292617 A292618

Keyword

hard,nonn,more

Author

Madeline Brandt, Sep 21 2017

Status

approved