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A159050
Dimension of the space of weight 2 modular forms for Gamma_1(n).
1
0, 1, 1, 2, 3, 3, 5, 5, 7, 7, 10, 9, 13, 12, 16, 15, 20, 17, 24, 22, 28, 25, 33, 28, 39, 33, 42, 39, 49, 40, 55, 48, 60, 52, 72, 56, 75, 63, 80, 72, 90, 72, 98, 85, 104, 88, 115, 92, 128, 103, 128, 114, 143, 111, 160, 132, 156, 133, 174, 136, 185, 150, 192, 164, 216
OFFSET
1,4
COMMENTS
a(n) = A029937(n) + A029936(n) - 1.
LINKS
S. R. Finch, Modular forms on SL_2(Z), December 28, 2005. [Cached copy, with permission of the author]
PROG
(Magma) [ Dimension(ModularForms(Gamma1(n), 2)) : n in [1..100] ]; // Klaus Brockhaus, Mar 11 2011
(Sage) def A159050(n): return dimension_modular_forms(Gamma1(n), k=2) # D. S. McNeil, Mar 11 2011
CROSSREFS
KEYWORD
nonn
AUTHOR
Steven Finch, Apr 03 2009
STATUS
approved