A063235 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 83 ).

7, 20, 34, 48, 62, 74, 90, 102, 116, 130, 144, 156, 172, 184, 198, 212, 226, 238, 254, 266, 280, 294, 308, 320, 336, 348, 362, 376, 390, 402, 418, 430, 444, 458, 472, 484, 500, 512, 526, 540, 554, 566, 582, 594, 608, 622, 636, 648, 664, 676

Offset

1,1

Links

Table of n, a(n) for n=1..50.

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)

Formula

G.f.: 7x -2*x^2*(-10-17*x-14*x^2-4*x^3+4*x^4) / ( (1+x)*(1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Jul 15 2015

Mathematica

LinearRecurrence[{0, 1, 1, 0, -1}, {7, 20, 34, 48, 62, 74}, 60] (* Harvey P. Dale, Jun 12 2016 *)

Crossrefs

Sequence in context: A319966 A200773 A269044 * A063151 A297882 A318790

Adjacent sequences: A063232 A063233 A063234 * A063236 A063237 A063238

Keyword

nonn

Author

N. J. A. Sloane, Jul 10 2001

Status

approved