A347368 - OEIS

%I #9 Sep 14 2021 04:17:23

%S 20,41,56,65,75,98,92,135,168,145,167,222,183,254,283,281,277,398,337,

%T 436,441,391,499,637,542,638,731,689,736,921,805,950,1019,1013,1150,

%U 1346,1140,1325,1518,1520,1535,1805,1670,1946,2084,1950,2167

%N Number of signatures of Fuchsian groups leading to automorphism groups of Riemann surfaces of genus n.

%C This includes signatures leading to subgroups of the full automorphism group.

%C Breuer's book erroneously gives a(33) = 949. (See errata.)

%D Thomas Breuer, Characters and automorphism groups of compact Riemann surfaces, Cambridge University Press, 2000, p. 91.

%H Thomas Breuer, <a href="http://www.math.rwth-aachen.de/~Thomas.Breuer/genus/doc/errata.pdf">Errata et Addenda for Characters and Automorphism Groups of Compact Riemann Surfaces</a>.

%H Jen Paulhus, <a href="https://paulhus.math.grinnell.edu/monodromy.html">Branching data for curves up to genus 48</a>.

%F a(n) = A347369(n) + A347370(n).

%Y Cf. A179982, A346293, A347369, A347370, A347371, A347372, A347373.

%K nonn,hard

%O 2,1

%A _Eric M. Schmidt_, Aug 29 2021