A063247 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 100 ).

1, 5, 8, 11, 14, 18, 20, 24, 27, 30, 33, 37, 39, 43, 46, 49, 52, 56, 58, 62, 65, 68, 71, 75, 77, 81, 84, 87, 90, 94, 96, 100, 103, 106, 109, 113, 115, 119, 122, 125, 128, 132, 134, 138, 141, 144, 147, 151, 153, 157

Offset

1,2

Links

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

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))

William A. Stein, The modular forms database

Formula

Conjectures from Colin Barker, Jun 08 2019: (Start)

G.f.: x*(1 + 5*x + 7*x^2 + 5*x^3 + x^4) / ((1 - x)^2*(1 + x)*(1 + x + x^2)).

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

(End)

Crossrefs

Sequence in context: A022808 A104279 A184919 * A184928 A186238 A352623

Adjacent sequences: A063244 A063245 A063246 * A063248 A063249 A063250

Keyword

nonn

Author

N. J. A. Sloane, Jul 10 2001

Status

approved