The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A063371 Dimension of the space of weight n cuspidal newforms for Gamma_1( 98 ). 0

%I #9 Aug 22 2019 12:18:12

%S -1,95,188,282,376,470,564,659,752,847,940,1034,1128,1224,1316,1411,

%T 1504,1599,1692,1788,1880,1976,2068,2163,2256,2353,2444,2540,2632,

%U 2728,2820,2917,3008,3105,3196,3292,3384,3482,3572,3669,3760,3857

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 98 ).

%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 Conjectures 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 -95*x -188*x^2 -282*x^3 -377*x^4 -375*x^5 -377*x^6 -282*x^7 -188*x^8 -95*x^9 +x^10) / ((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.

Last modified May 21 19:35 EDT 2024. Contains 372738 sequences. (Running on oeis4.)