%I
%S 1,39,92,143,194,249,300,351,406,457,508,561,614,665,720,769,822,875,
%T 928,977,1034,1083,1136,1187,1242,1291,1348,1395,1450,1501,1556,1603,
%U 1662,1709,1764,1813,1870,1917,1976,2021,2078,2127,2184
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 45 ).
%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 Conjectures from _Colin Barker_, Feb 24 2016: (Start)
%F a(n) = a(n4) + a(n6)  a(n10) for n>13.
%F G.f.: x^2*(1 39*x 92*x^2 143*x^3 195*x^4 210*x^5 209*x^6 169*x^7 120*x^8 65*x^9 13*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
