A063102 Dimension of the space of weight 2n cusp forms for Gamma_0( 34 ).

3, 12, 20, 30, 38, 48, 56, 66, 74, 84, 92, 102, 110, 120, 128, 138, 146, 156, 164, 174, 182, 192, 200, 210, 218, 228, 236, 246, 254, 264, 272, 282, 290, 300, 308, 318, 326, 336, 344, 354, 362, 372, 380, 390, 398, 408, 416, 426, 434, 444

Offset

1,1

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

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

G.f.: x*(3 + 9*x + 5*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 + 18*n - 13)/2 for n>1.

(End)

Crossrefs

Sequence in context: A063244 A344015 A281813 * A122576 A212760 A143268

Adjacent sequences: A063099 A063100 A063101 * A063103 A063104 A063105

Keyword

nonn

Author

N. J. A. Sloane, Jul 08 2001

Status

approved