A063199 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 11 ).

1, 2, 4, 6, 8, 8, 12, 12, 14, 16, 18, 18, 22, 22, 24, 26, 28, 28, 32, 32, 34, 36, 38, 38, 42, 42, 44, 46, 48, 48, 52, 52, 54, 56, 58, 58, 62, 62, 64, 66, 68, 68, 72, 72, 74, 76, 78, 78, 82, 82

Offset: 1

Author

N. J. A. Sloane, Jul 10 2001

Keywords

• nonn

Links

• R. J. Mathar, Table of n, a(n) for n = 1..1000
• G. Martin, Dimensions of the spaces of cusp forms and newforms on Gamma_0(N) and Gamma_1(N), J. Numb. Theory 112 (2005) 298-331, Theorem 1.
• William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))
• William A. Stein, The modular forms database
• Index entries for linear recurrences with constant coefficients, signature (0,1,1,0,-1).

Programs

Mathematica

LinearRecurrence[{0,1,1,0,-1},{1,2,4,6,8,8},60] (* Harvey P. Dale, Dec 28 2024 *)

Formula

G.f.: x -2*x^2*(-1-2*x-2*x^2-x^3+x^4) / ( (1+x)*(1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Jul 15 2015