A290946 - OEIS

%I #16 Oct 20 2017 15:51:06

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

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

%C 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.

%H K. Ascher, C. Dube, D. Gershenson, E. Hou, <a href="https://arxiv.org/abs/1709.03663">Enumerating Hassett's wall and chamber decomposition of the moduli space of weighted stable curves</a>, arXiv:1709.03663 [math.AG], 2017.

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

%Y Cf. A000609, A000615, A109456.

%K nonn,hard,more

%O 3,2

%A _Connor Halleck-Dube_, Oct 20 2017