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%I #41 Jan 15 2025 04:19:19
%S 0,0,7,42,379,4555,69808,1281678,27297406
%N Number of homeomorphism classes of stable curves in the moduli space of stable curves of genus g.
%C a(g) is also the number of stable graphs of type (g,0) (see reference).
%H Melody T. Chan, <a href="https://escholarship.org/uc/item/0nm4157r">Tropical curves and metric graphs</a>, Ph. D. Dissertation, Univ. Calif. Berkeley, Spring 2012.
%H Melody Chan, <a href="http://dx.doi.org/10.2140/ant.2012.6.1133">Combinatorics of the tropical Torelli map</a>, Algebra Number Theory, 6 (2012), 1133-1169.
%H Melody Chan, <a href="https://www.math.brown.edu/~mtchan/ATOMNotes.pdf">Graph complexes and the top-weight Euler characteristic of M_(g,n)</a>, Lecture Notes, Brown University (2020).
%H Pierre Deligne and David Mumford, <a href="http://www.numdam.org/item/PMIHES_1969__36__75_0/">The irreducibility of the space of curves of given genus</a>, Inst. Hautes Études Sci. Publ. Math. No. 36, 1969, 75-109.
%H Stefano Maggiolo and Nicola Pagani, <a href="http://poisson.phc.dm.unipi.it/~maggiolo/Math/boundary/">Boundary graph computer for the moduli space of stable pointed curves</a> (includes program to compute a(n)).
%e a(0) = a(1) = 0 because there are no stable curves of genus 0 or 1.
%Y Cf. A007827.
%Y Row sums of triangle A366039.
%K nonn,more,hard,changed
%O 0,3
%A _Stefano Maggiolo_, Nov 27 2010