Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #11 Aug 22 2019 12:18:12
%S 3,10,18,22,30,38,42,50,58,62,70,78,82,90,98,102,110,118,122,130,138,
%T 142,150,158,162,170,178,182,190,198,202,210,218,222,230,238,242,250,
%U 258,262,270,278,282,290,298,302,310,318,322,330
%N Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 55 ).
%H William A. Stein, <a href="http://wstein.org/Tables/dimskg0new.gp">Dimensions of the spaces S_k^{new}(Gamma_0(N))</a>
%H William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,-1).
%F G.f.: 3x-2*x^2*(-5-4*x-2*x^2+x^3) / ( (1+x+x^2)*(x-1)^2 ). - _R. J. Mathar_, Jul 15 2015
%t CoefficientList[Series[3 - 2*x*(-5 - 4*x - 2*x^2 + x^3)/((1 + x + x^2)*(x - 1)^2), {x, 0, 80}], x] (* _Wesley Ivan Hurt_, Jan 23 2017 *)
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Jul 10 2001