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

Author

N. J. A. Sloane, Jul 10 2001

Keywords

• nonn

Links

• 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)