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%I #11 May 08 2023 04:52:17
%S -1,87,197,305,413,525,633,741,853,961,1069,1179,1289,1397,1509,1615,
%T 1725,1835,1945,2051,2165,2271,2381,2489,2601,2707,2821,2925,3037,
%U 3145,3257,3361,3477,3581,3693,3799,3913,4017,4133,4235,4349
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 63 ).
%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 -87*x -197*x^2 -305*x^3 -414*x^4 -438*x^5 -437*x^6 -349*x^7 -243*x^8 -131*x^9 -22*x^10) / ((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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