A063081 Dimension of the space of weight 2n cusp forms for Gamma_0( 13 ).

0, 3, 5, 7, 9, 13, 13, 17, 19, 21, 23, 27, 27, 31, 33, 35, 37, 41, 41, 45, 47, 49, 51, 55, 55, 59, 61, 63, 65, 69, 69, 73, 75, 77, 79, 83, 83, 87, 89, 91, 93, 97, 97, 101, 103, 105, 107, 111, 111, 115

Offset

1,2

Links

Table of n, a(n) for n=1..50.

William A. Stein, Dimensions of the spaces S_k(Gamma_0(N)).

William A. Stein, The modular forms database

Formula

From Chai Wah Wu, May 27 2016: (Start)

Conjectured: a(n) = a(n-2) + a(n-3) - a(n-5) for n > 6.

Conjectured: G.f.: x^2*(x^4 + x^3 + 4*x^2 + 5*x + 3)/(x^5 -x^3 -x^2 +1). (End)

Crossrefs

Sequence in context: A121388 A161700 A245212 * A337431 A067031 A204454

Adjacent sequences: A063078 A063079 A063080 * A063082 A063083 A063084

Keyword

nonn

Author

N. J. A. Sloane, Jul 08 2001

Status

approved