%I #11 May 02 2023 13:11:19
%S -1,26,65,105,145,185,225,265,305,345,385,423,465,505,545,583,625,663,
%T 705,743,785,823,865,901,945,983,1025,1061,1105,1141,1185,1221,1265,
%U 1301,1345,1379,1425,1461,1505,1539,1585,1619,1665,1699,1745
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 31 ).
%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 -26*x -65*x^2 -105*x^3 -146*x^4 -159*x^5 -161*x^6 -134*x^7 -95*x^8 -55*x^9 -14*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