A063150 Dimension of the space of weight 2n cusp forms for Gamma_0( 82 ).

9, 30, 50, 72, 92, 114, 134, 156, 176, 198, 218, 240, 260, 282, 302, 324, 344, 366, 386, 408, 428, 450, 470, 492, 512, 534, 554, 576, 596, 618, 638, 660, 680, 702, 722, 744, 764, 786, 806, 828, 848, 870, 890, 912, 932, 954, 974, 996, 1016

Offset

1,1

Links

Table of n, a(n) for n=1..49.

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

William A. Stein, The modular forms database

Formula

Conjectures from Colin Barker, Jun 10 2019: (Start)

G.f.: x*(9 + 21*x + 11*x^2 + x^3) / ((1 - x)^2*(1 + x)).

a(n) = a(n-1) + a(n-2) - a(n-3) for n>4.

a(n) = ((-1)^n + 42*n - 25) / 2 for n>1.

(End)

Crossrefs

Sequence in context: A185653 A326150 A167154 * A063161 A295867 A195319

Adjacent sequences: A063147 A063148 A063149 * A063151 A063152 A063153

Keyword

nonn

Author

N. J. A. Sloane, Jul 08 2001

Status

approved