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%I #11 May 08 2023 04:53:35
%S -1,34,70,105,140,175,210,243,280,313,350,385,420,451,490,523,560,593,
%T 630,661,700,731,770,803,840,869,910,941,980,1011,1050,1079,1120,1149,
%U 1190,1221,1260,1287,1330,1359,1400,1429,1470,1497,1540
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 58 ).
%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 -34*x -70*x^2 -105*x^3 -141*x^4 -141*x^5 -141*x^6 -104*x^7 -70*x^8 -33*x^9 +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