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Dimension of the space of weight n cuspidal newforms for Gamma_1( 44 ).
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%I #12 May 02 2023 13:13:03

%S -1,25,60,95,128,163,196,235,264,303,332,373,400,443,468,513,536,581,

%T 604,653,672,721,740,791,808,861,876,931,944,999,1012,1071,1080,1139,

%U 1148,1209,1216,1279,1284,1349,1352,1417,1420,1489,1488

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 44 ).

%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 -25*x -60*x^2 -95*x^3 -129*x^4 -138*x^5 -137*x^6 -115*x^7 -76*x^8 -45*x^9 -7*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