A159050 Dimension of the space of weight 2 modular forms for Gamma_1(n).

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

Klaus Brockhaus, Table of n, a(n) for n = 1..1000

S. R. Finch, Modular forms on SL_2(Z), December 28, 2005. [Cached copy, with permission of the author]

W. A. Stein, Modular Forms: A Computational Approach.

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

Cf. A029936, A029937, A111248.

Sequence in context: A239907 A113637 A257539 * A363433 A210336 A280271

Adjacent sequences: A159047 A159048 A159049 * A159051 A159052 A159053

Keyword

nonn

Author

Steven Finch, Apr 03 2009

Status

approved