A063326 - OEIS

%I #11 May 08 2023 04:54:35

%S -1,92,208,325,442,559,676,793,910,1027,1144,1259,1378,1495,1612,1727,

%T 1846,1961,2080,2195,2314,2429,2548,2661,2782,2897,3016,3129,3250,

%U 3363,3484,3597,3718,3831,3952,4063,4186,4299,4420,4531,4654

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 53 ).

%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 -92*x -208*x^2 -325*x^3 -443*x^4 -467*x^5 -469*x^6 -376*x^7 -260*x^8 -143*x^9 -25*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