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A063316 Dimension of the space of weight n cuspidal newforms for Gamma_1( 43 ). 0

%I #12 May 02 2023 13:12:56

%S -1,57,133,210,287,364,441,518,595,672,749,824,903,980,1057,1132,1211,

%T 1286,1365,1440,1519,1594,1673,1746,1827,1902,1981,2054,2135,2208,

%U 2289,2362,2443,2516,2597,2668,2751,2824,2905,2976,3059,3130

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 43 ).

%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 -57*x -133*x^2 -210*x^3 -288*x^4 -307*x^5 -309*x^6 -251*x^7 -175*x^8 -98*x^9 -20*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

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)