A063140 Dimension of the space of weight 2n cusp forms for Gamma_0( 72 ).
5, 28, 52, 76, 100, 124, 148, 172, 196, 220, 244, 268, 292, 316, 340, 364, 388, 412, 436, 460, 484, 508, 532, 556, 580, 604, 628, 652, 676, 700, 724, 748, 772, 796, 820, 844, 868, 892, 916, 940, 964, 988, 1012, 1036, 1060, 1084, 1108, 1132
Offset: 1
Keywords
Links
- William A. Stein, Dimensions of the spaces S_k(Gamma_0(N)).
- William A. Stein, The modular forms database
Crossrefs
Cf. A008606.
Formula
Conjectures from Colin Barker, Sep 23 2012: (Start)
a(n) = 24*n-20 for n>1.
a(n) = 2*a(n-1)-a(n-2) for n>3.
G.f.: x*(5+18*x+x^2)/(1-x)^2. (End)
Conjectured e.g.f.: 20 + x + 4*exp(x)*(6*x - 5). - Stefano Spezia, Mar 02 2025