%I #9 Aug 22 2019 12:18:12
%S 4,13,21,31,39,49,57,67,75,85,93,103,111,121,129,139,147,157,165,175,
%T 183,193,201,211,219,229,237,247,255,265,273,283,291,301,309,319,327,
%U 337,345,355,363,373,381,391,399,409,417,427,435,445
%N Dimension of the space of weight 2n cusp forms for Gamma_0( 53 ).
%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 09 2019: (Start)
%F G.f.: x*(4 + 9*x + 4*x^2 + x^3) / ((1 - x)^2*(1 + x)).
%F a(n) = a(n-1) + a(n-2) - a(n-3) for n>4.
%F a(n) = ((-1)^n + 18*n - 11) / 2 for n>1.
%F (End)
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Jul 08 2001