A063338 - OEIS

%I #18 May 08 2023 04:51:38

%S -1,117,272,424,576,728,880,1032,1184,1336,1488,1644,1792,1944,2096,

%T 2252,2400,2556,2704,2860,3008,3164,3312,3472,3616,3772,3920,4080,

%U 4224,4384,4528,4688,4832,4992,5136,5300,5440,5600,5744,5908,6048

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 65 ).

%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 -117*x -272*x^2 -424*x^3 -577*x^4 -611*x^5 -609*x^6 -491*x^7 -336*x^8 -184*x^9 -31*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