A063220 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 55 ).

3, 10, 18, 22, 30, 38, 42, 50, 58, 62, 70, 78, 82, 90, 98, 102, 110, 118, 122, 130, 138, 142, 150, 158, 162, 170, 178, 182, 190, 198, 202, 210, 218, 222, 230, 238, 242, 250, 258, 262, 270, 278, 282, 290, 298, 302, 310, 318, 322, 330

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 (1,0,1,-1).

Formula

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

Mathematica

CoefficientList[Series[3 - 2*x*(-5 - 4*x - 2*x^2 + x^3)/((1 + x + x^2)*(x - 1)^2), {x, 0, 80}], x] (* Wesley Ivan Hurt, Jan 23 2017 *)

Crossrefs

Sequence in context: A178644 A128701 A030390 * A063234 A063245 A035488

Adjacent sequences: A063217 A063218 A063219 * A063221 A063222 A063223

Keyword

nonn

Author

N. J. A. Sloane, Jul 10 2001

Status

approved