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Dimension of the space of weight n cuspidal newforms for Gamma_1( 29 ).
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%I #11 May 02 2023 13:11:01

%S -1,22,56,91,126,161,196,231,266,301,336,369,406,441,476,509,546,579,

%T 616,649,686,719,756,787,826,859,896,927,966,997,1036,1067,1106,1137,

%U 1176,1205,1246,1277,1316,1345,1386,1415,1456,1485,1526

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 29 ).

%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 -22*x -56*x^2 -91*x^3 -127*x^4 -139*x^5 -141*x^6 -118*x^7 -84*x^8 -49*x^9 -13*x^10 +x^11) / ((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