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Dimension of the space of weight n cuspidal newforms for Gamma_1( 11 ).
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%I #11 May 02 2023 13:01:37

%S -1,1,5,10,15,20,25,30,35,40,45,48,55,60,65,68,75,78,85,88,95,98,105,

%T 106,115,118,125,126,135,136,145,146,155,156,165,164,175,176,185,184,

%U 195,194,205,204,215,214,225,222,235,234,245,242,255,252

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 11 ).

%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 -x -5*x^2 -10*x^3 -16*x^4 -19*x^5 -21*x^6 -19*x^7 -15*x^8 -10*x^9 -4*x^10 +x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

%F (End)

%Y Cf. A017329 (bisection),

%K sign

%O 2,3

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