A063205 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 29 ).

2, 7, 11, 17, 21, 25, 31, 35, 39, 45, 49, 53, 59, 63, 67, 73, 77, 81, 87, 91, 95, 101, 105, 109, 115, 119, 123, 129, 133, 137, 143, 147, 151, 157, 161, 165, 171, 175, 179, 185, 189, 193, 199, 203, 207, 213, 217, 221, 227, 231

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 (1,0,1,-1).

Formula

G.f.: 2x-x^2*(-7-4*x-6*x^2+3*x^3) / ( (1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Jul 15 2015