A063276 - OEIS

%I #13 May 02 2023 13:10:07

%S -1,0,0,0,0,1,1,1,2,2,2,1,3,3,4,2,4,3,5,3,6,4,6,3,7,5,8,4,8,5,9,5,10,

%T 6,10,5,11,7,12,6,12,7,13,7,14,8,14,7,15,9,16,8,16,9,17,9,18,10,18,9,

%U 19,11,20,10,20,11,21,11,22,12,22,11,23,13,24,12,24

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 3 ).

%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>

%H R. J. Mathar, <a href="/A063276/a063276.mp.txt">Maple program for A063276 .. A063363</a>

%F g.f.: -x^2*(x^9-x^8-x^7-2*x^4+x^3-x+1) / ((x-1)^2*(x+1)^2*(x^2-x+1)*(x^2+1)). - _Colin Barker_, Feb 24 2015

%Y Cf. A004523 (bisection), A051274 (bisection).

%K sign

%O 2,9

%A _N. J. A. Sloane_, Jul 14 2001