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A111248
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Dimension of the space of weight 2 modular forms for Gamma_0(n).
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2
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0, 1, 1, 2, 1, 3, 1, 3, 3, 3, 2, 5, 1, 4, 4, 5, 2, 7, 2, 6, 4, 5, 3, 8, 5, 5, 6, 7, 3, 10, 3, 8, 6, 6, 6, 12, 3, 7, 6, 10, 4, 12, 4, 9, 10, 8, 5, 14, 8, 13, 8, 10, 5, 15, 8, 12, 8, 9, 6, 18, 5, 10, 12, 14, 8, 16, 6, 12, 10, 16, 7, 20, 6, 11, 16, 13, 10, 18, 7, 18, 15, 12, 8, 22, 10, 13, 12, 16, 8, 26
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| Equivalently, this is the dimension of the space of level n, weight 2 modular forms.
a(n) = A001617(n) + A001616(n) - 1 [From S. R. Finch (Steven.Finch(AT)inria.fr), Apr 03 2009]
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LINKS
| S. R. Finch, Modular forms on SL_2(Z)
William A. Stein, The modular forms database
Klaus Brockhaus, Table of n, a(n) for n = 1..10000
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PROG
| (MAGMA) [ Dimension(ModularForms(Gamma0(n), 2)) : n in [1..100] ]; // Klaus Brockhaus, Mar 10 2011
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CROSSREFS
| Cf. A001616, A001617 [From S. R. Finch (Steven.Finch(AT)inria.fr), Apr 03 2009]
Cf. A006571.
Sequence in context: A048864 A003139 A145652 * A100714 A050123 A081386
Adjacent sequences: A111245 A111246 A111247 * A111249 A111250 A111251
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KEYWORD
| nonn
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AUTHOR
| S. R. Finch (Steven.Finch(AT)inria.fr), Oct 31 2005
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EXTENSIONS
| More terms from S. R. Finch (Steven.Finch(AT)inria.fr), Apr 03 2009
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