A290946 Number of chambers of Hassett's decomposition of the weight domain of the moduli space of genus 0 n-pointed curves.

1, 27, 1087, 105123, 31562520, 33924554539, 140306938682875

Offset: 3

Author

Connor Halleck-Dube, Oct 20 2017

Keywords

• nonn
• hard
• more

Comments

a(n) is also the number of goldilocks linear threshold functions on n variables. Asymptotically equal to the total number of linear threshold functions on n variables, divided by 2^n.

Links

• K. Ascher, C. Dube, D. Gershenson, E. Hou, Enumerating Hassett's wall and chamber decomposition of the moduli space of weighted stable curves, arXiv:1709.03663 [math.AG], 2017.

Crossrefs

Cf. A000609, A000615, A109456.

Formula

a(n) ~ 2^(n^2 - n log n + O(n)).