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Dimension of the space of weight 2n cusp forms for Gamma_0( 57 ).
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%I #10 Aug 22 2019 12:18:12

%S 5,18,32,44,58,72,84,98,112,124,138,152,164,178,192,204,218,232,244,

%T 258,272,284,298,312,324,338,352,364,378,392,404,418,432,444,458,472,

%U 484,498,512,524,538,552,564,578,592,604,618,632,644,658

%N Dimension of the space of weight 2n cusp forms for Gamma_0( 57 ).

%H William A. Stein, <a href="http://wstein.org/Tables/dimskg0n.gp">Dimensions of the spaces S_k(Gamma_0(N))</a>.

%H William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>

%F Conjectures from _Colin Barker_, Jun 10 2019: (Start)

%F G.f.: x*(1 + x)*(5 + 8*x + 6*x^2 + x^3) / ((1 - x)^2*(1 + x + x^2)).

%F a(n) = a(n-1) + a(n-3) - a(n-4) for n>5.

%F (End)

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Jul 08 2001