A063164 Dimension of the space of weight 2n cusp forms for Gamma_0( 96 ).

9, 40, 72, 104, 136, 168, 200, 232, 264, 296, 328, 360, 392, 424, 456, 488, 520, 552, 584, 616, 648, 680, 712, 744, 776, 808, 840, 872, 904, 936, 968, 1000, 1032, 1064, 1096, 1128, 1160, 1192, 1224, 1256, 1288, 1320, 1352, 1384, 1416, 1448, 1480, 1512, 1544

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

Formula

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

G.f.: x*(9 + 22*x + x^2) / (1 - x)^2.

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

a(n) = 8*(4*n-3) for n > 1.

(End)