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%I #11 May 08 2023 04:47:31
%S -1,247,533,820,1107,1394,1681,1968,2255,2542,2829,3114,3403,3690,
%T 3977,4262,4551,4836,5125,5410,5699,5984,6273,6556,6847,7132,7421,
%U 7704,7995,8278,8569,8852,9143,9426,9717,9998,10291,10574,10865
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ).
%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 -247*x -533*x^2 -820*x^3 -1108*x^4 -1147*x^5 -1149*x^6 -901*x^7 -615*x^8 -328*x^9 -40*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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