A063299 Dimension of the space of weight n cuspidal newforms for Gamma_1( 26 ).

-1, 6, 14, 21, 28, 35, 42, 47, 56, 61, 70, 77, 84, 87, 98, 103, 112, 117, 126, 129, 140, 143, 154, 159, 168, 169, 182, 185, 196, 199, 210, 211, 224, 225, 238, 241, 252, 251, 266, 267, 280, 281, 294, 293, 308, 307, 322, 323, 336, 333, 350, 349

Offset

2,2

Links

Table of n, a(n) for n=2..53.

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_1(N))

William A. Stein, The modular forms database

Formula

From Colin Barker, Feb 24 2016: (Start)

a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

G.f.: -x^2*(1 -6*x -14*x^2 -21*x^3 -29*x^4 -29*x^5 -29*x^6 -20*x^7 -14*x^8 -5*x^9 +x^10 -x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

Crossrefs

Sequence in context: A020171 A122784 A244175 * A184924 A110223 A190504

Adjacent sequences: A063296 A063297 A063298 * A063300 A063301 A063302

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved