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

3,2

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

Table of n, a(n) for n=3..9.

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.

Formula

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

Crossrefs

Cf. A000609, A000615, A109456.

Sequence in context: A143705 A222440 A159457 * A223552 A357228 A104206

Adjacent sequences: A290943 A290944 A290945 * A290947 A290948 A290949

Keyword

nonn,hard,more

Author

Connor Halleck-Dube, Oct 20 2017

Status

approved