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Search: id:A029937
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| A029937 |
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Genus of modular curve X_1(n). |
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+0
5
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 5, 2, 7, 3, 5, 6, 12, 5, 12, 10, 13, 10, 22, 9, 26, 17, 21, 21, 25, 17, 40, 28, 33, 25, 51, 25, 57, 36, 41, 45, 70, 37, 69, 48, 65, 55, 92, 52, 81, 61, 85, 78, 117, 57, 126, 91, 97
(list; graph; listen)
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OFFSET
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1,13
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COMMENT
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Also the dimension of the space of cusp forms of weight two on Gamma1(n) [From S. R. Finch (Steven.Finch(AT)inria.fr), Apr 03 2009]
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REFERENCES
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F. Hirzebruch et al., Manifolds and Modular Forms, Vieweg, 2nd ed. 1994, p. 161.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
S. R. Finch, Modular forms on SL_2(Z)
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MAPLE
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with(numtheory); A029937 := proc(n) local i, j; j := 1+(1/24)*phi(n)*A001615(n); for i in divisors(n) do j := j-(1/4)*phi(i)*phi(n/i) od; j; end;
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CROSSREFS
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Cf. A001617, A029938 [From S. R. Finch (Steven.Finch(AT)inria.fr), Apr 03 2009]
Sequence in context: A127568 A143364 A159046 this_sequence A117848 A025242 A163982
Adjacent sequences: A029934 A029935 A029936 this_sequence A029938 A029939 A029940
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KEYWORD
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nonn,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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