login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A063286 Dimension of the space of weight n cuspidal newforms for Gamma_1( 13 ). 0

%I #11 May 02 2023 13:02:34

%S -1,2,8,15,22,29,36,43,50,57,64,69,78,85,92,97,106,111,120,125,134,

%T 139,148,151,162,167,176,179,190,193,204,207,218,221,232,233,246,249,

%U 260,261,274,275,288,289,302,303,316,315,330,331,344,343,358

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 13 ).

%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 -2*x -8*x^2 -15*x^3 -23*x^4 -27*x^5 -29*x^6 -26*x^7 -20*x^8 -13*x^9 -5*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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)