A063238 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 87 ).

5, 14, 24, 32, 42, 52, 60, 70, 80, 88, 98, 108, 116, 126, 136, 144, 154, 164, 172, 182, 192, 200, 210, 220, 228, 238, 248, 256, 266, 276, 284, 294, 304, 312, 322, 332, 340, 350, 360, 368, 378, 388, 396, 406, 416, 424, 434, 444, 452, 462

Offset: 1

Author

N. J. A. Sloane, Jul 10 2001

Keywords

• nonn

Links

• 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).

Programs

Mathematica

LinearRecurrence[{1,0,1,-1},{5,14,24,32,42},50] (* Harvey P. Dale, Jun 24 2018 *)

Formula

G.f.: 5x -2*x^2*(-7-5*x-4*x^2+2*x^3) / ( (1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Jul 15 2015