A063098 Dimension of the space of weight 2n cusp forms for Gamma_0( 30 ).

3, 14, 26, 38, 50, 62, 74, 86, 98, 110, 122, 134, 146, 158, 170, 182, 194, 206, 218, 230, 242, 254, 266, 278, 290, 302, 314, 326, 338, 350, 362, 374, 386, 398, 410, 422, 434, 446, 458, 470, 482, 494, 506, 518, 530, 542, 554, 566, 578, 590

Offset: 1

Author

N. J. A. Sloane, Jul 08 2001

Keywords

• nonn

Links

• William A. Stein, Dimensions of the spaces S_k(Gamma_0(N)).
• William A. Stein, The modular forms database

Crossrefs

Conjectured first differences of A126587.

Formula

Conjectures from Colin Barker, Jun 09 2019: (Start)

G.f.: x*(3 + 8*x + x^2) / (1 - x)^2.

a(n) = 2*a(n-1) - a(n-2) for n>3.

a(n) = 2*(6*n-5) for n>1.

(End)