login
A347368
Number of signatures of Fuchsian groups leading to automorphism groups of Riemann surfaces of genus n.
5
20, 41, 56, 65, 75, 98, 92, 135, 168, 145, 167, 222, 183, 254, 283, 281, 277, 398, 337, 436, 441, 391, 499, 637, 542, 638, 731, 689, 736, 921, 805, 950, 1019, 1013, 1150, 1346, 1140, 1325, 1518, 1520, 1535, 1805, 1670, 1946, 2084, 1950, 2167
OFFSET
2,1
COMMENTS
This includes signatures leading to subgroups of the full automorphism group.
Breuer's book erroneously gives a(33) = 949. (See errata.)
REFERENCES
Thomas Breuer, Characters and automorphism groups of compact Riemann surfaces, Cambridge University Press, 2000, p. 91.
FORMULA
a(n) = A347369(n) + A347370(n).
KEYWORD
nonn,hard
AUTHOR
Eric M. Schmidt, Aug 29 2021
STATUS
approved