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Dimension of the space of weight n cuspidal newforms for Gamma_1( 14 ).
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%I #11 May 02 2023 13:03:02

%S -1,1,4,6,8,10,12,12,16,16,20,22,24,22,28,28,32,32,36,34,40,38,44,44,

%T 48,44,52,50,56,54,60,56,64,60,68,66,72,66,76,72,80,76,84,78,88,82,92,

%U 88,96,88,100,94,104,98,108,100,112,104,116,110,120,110

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 14 ).

%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 -4*x^2 -6*x^3 -9*x^4 -9*x^5 -9*x^6 -5*x^7 -4*x^8 +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. A008586 (bisection), A063214 (bisection).

%K sign

%O 2,3

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