A063311 Dimension of the space of weight n cuspidal newforms for Gamma_1( 38 ).

-1, 14, 30, 45, 60, 75, 90, 103, 120, 133, 150, 165, 180, 191, 210, 223, 240, 253, 270, 281, 300, 311, 330, 343, 360, 369, 390, 401, 420, 431, 450, 459, 480, 489, 510, 521, 540, 547, 570, 579, 600, 609, 630, 637, 660, 667, 690, 699, 720, 725

Offset

2,2

Links

Table of n, a(n) for n=2..51.

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 -14*x -30*x^2 -45*x^3 -61*x^4 -61*x^5 -61*x^6 -44*x^7 -30*x^8 -13*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: A155480 A230720 A053751 * A055039 A044075 A044456

Adjacent sequences: A063308 A063309 A063310 * A063312 A063313 A063314

Keyword

sign

Author

N. J. A. Sloane, Jul 14 2001

Status

approved