%I #11 May 08 2023 04:52:56
%S -1,126,280,435,590,745,900,1055,1210,1365,1520,1673,1830,1985,2140,
%T 2293,2450,2603,2760,2913,3070,3223,3380,3531,3690,3843,4000,4151,
%U 4310,4461,4620,4771,4930,5081,5240,5389,5550,5701,5860,6009,6170
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 61 ).
%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 -126*x -280*x^2 -435*x^3 -591*x^4 -619*x^5 -621*x^6 -494*x^7 -340*x^8 -185*x^9 -29*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