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%I #11 May 08 2023 04:47:54
%S -1,69,140,210,280,350,420,488,560,628,700,770,840,906,980,1048,1120,
%T 1188,1260,1326,1400,1466,1540,1608,1680,1744,1820,1886,1960,2026,
%U 2100,2164,2240,2304,2380,2446,2520,2582,2660,2724,2800,2864
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 82 ).
%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 -69*x -140*x^2 -210*x^3 -281*x^4 -281*x^5 -281*x^6 -209*x^7 -140*x^8 -68*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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