A063207 - OEIS

A063207

Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 33 ).

1, 6, 8, 12, 14, 20, 20, 26, 28, 32, 34, 40, 40, 46, 48, 52, 54, 60, 60, 66, 68, 72, 74, 80, 80, 86, 88, 92, 94, 100, 100, 106, 108, 112, 114, 120, 120, 126, 128, 132, 134, 140, 140, 146, 148, 152, 154, 160, 160, 166, 168, 172, 174, 180, 180, 186, 188, 192, 194, 200, 200, 206, 208, 212, 214

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Paolo Xausa, Table of n, a(n) for n = 1..10000

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

a(n) = a(n-2)+a(n-3)-a(n-5) for n>6. G.f.: x*(x^5 +5*x^3 +7*x^2 +6*x +1)/((1 -x)^2*(1 +x)*(1 +x +x^2)). - Colin Barker, Sep 27 2012

MATHEMATICA

LinearRecurrence[{0, 1, 1, 0, -1}, {1, 6, 8, 12, 14, 20}, 100] (* Paolo Xausa, Jun 27 2025 *)