%I #9 Aug 22 2019 12:18:12
%S 9,30,50,72,92,114,134,156,176,198,218,240,260,282,302,324,344,366,
%T 386,408,428,450,470,492,512,534,554,576,596,618,638,660,680,702,722,
%U 744,764,786,806,828,848,870,890,912,932,954,974,996,1016
%N Dimension of the space of weight 2n cusp forms for Gamma_0( 82 ).
%H William A. Stein, <a href="http://wstein.org/Tables/dimskg0n.gp">Dimensions of the spaces S_k(Gamma_0(N))</a>.
%H William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>
%F Conjectures from _Colin Barker_, Jun 10 2019: (Start)
%F G.f.: x*(9 + 21*x + 11*x^2 + x^3) / ((1 - x)^2*(1 + x)).
%F a(n) = a(n-1) + a(n-2) - a(n-3) for n>4.
%F a(n) = ((-1)^n + 42*n - 25) / 2 for n>1.
%F (End)
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Jul 08 2001
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