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%I #12 May 02 2023 13:11:53
%S -1,14,30,45,60,75,90,103,120,133,150,165,180,191,210,223,240,253,270,
%T 281,300,311,330,343,360,369,390,401,420,431,450,459,480,489,510,521,
%U 540,547,570,579,600,609,630,637,660,667,690,699,720,725
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 38 ).
%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 24 2016: (Start)
%F a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.
%F G.f.: -x^2*(1 -14*x -30*x^2 -45*x^3 -61*x^4 -61*x^5 -61*x^6 -44*x^7 -30*x^8 -13*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
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