A063151 Dimension of the space of weight 2n cusp forms for Gamma_0( 83 ).

7, 20, 34, 48, 62, 76, 90, 104, 118, 132, 146, 160, 174, 188, 202, 216, 230, 244, 258, 272, 286, 300, 314, 328, 342, 356, 370, 384, 398, 412, 426, 440, 454, 468, 482, 496, 510, 524, 538, 552, 566, 580, 594, 608, 622, 636, 650, 664, 678, 692

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 09 2019: (Start)

G.f.: x*(7 + 6*x + x^2) / (1 - x)^2.

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

a(n) = 14*n-8 for n>1.

(End)