%I #11 May 08 2023 04:53:17
%S -1,117,261,406,551,696,841,986,1131,1276,1421,1564,1711,1856,2001,
%T 2144,2291,2434,2581,2724,2871,3014,3161,3302,3451,3594,3741,3882,
%U 4031,4172,4321,4462,4611,4752,4901,5040,5191,5332,5481,5620,5771
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 59 ).
%H William A. Stein, <a href="http://wstein.org/Tables/dimskg1new.gp">Dimensions of the spaces S_k^{new}(Gamma_1(N))</a>
%H William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>
%F From _Colin Barker_, Feb 25 2016: (Start)
%F a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.
%F G.f.: -x^2*(1 -117*x -261*x^2 -406*x^3 -552*x^4 -579*x^5 -581*x^6 -463*x^7 -319*x^8 -174*x^9 -28*x^10 +x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).
%F (End)
%K sign
%O 2,2
%A _N. J. A. Sloane_, Jul 14 2001