[go: up one dir, main page]

login
Dimension of the space of weight 2n cusp forms for Gamma_0( 66 ).
0

%I #10 Aug 22 2019 12:18:12

%S 9,32,56,80,104,128,152,176,200,224,248,272,296,320,344,368,392,416,

%T 440,464,488,512,536,560,584,608,632,656,680,704,728,752,776,800,824,

%U 848,872,896,920,944,968,992,1016,1040,1064,1088,1112,1136

%N Dimension of the space of weight 2n cusp forms for Gamma_0( 66 ).

%H William A. Stein, <a href="http://wstein.org/Tables/dimskg0n.gp">Dimensions of the spaces S_k(Gamma_0(N))</a>.

%H William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>

%F Conjectures from _Colin Barker_, Jun 10 2019: (Start)

%F G.f.: x*(9 + 14*x + x^2) / (1 - x)^2.

%F a(n) = 2*a(n-1) - a(n-2) for n>3.

%F a(n) = 8*(3*n-2) for n>1.

%F (End)

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Jul 08 2001