A063335 - OEIS

%I #13 May 08 2023 04:52:37

%S -1,39,80,120,160,200,240,278,320,358,400,440,480,516,560,598,640,678,

%T 720,756,800,836,880,918,960,994,1040,1076,1120,1156,1200,1234,1280,

%U 1314,1360,1396,1440,1472,1520,1554,1600,1634,1680,1712,1760

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 62 ).

%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 -39*x -80*x^2 -120*x^3 -161*x^4 -161*x^5 -161*x^6 -119*x^7 -80*x^8 -38*x^9 +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