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Dimension of the space of weight 2n cusp forms for Gamma_0( 39 ).
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%I #10 Aug 22 2019 12:18:12

%S 3,12,22,30,40,50,58,68,78,86,96,106,114,124,134,142,152,162,170,180,

%T 190,198,208,218,226,236,246,254,264,274,282,292,302,310,320,330,338,

%U 348,358,366,376,386,394,404,414,422,432,442,450,460

%N Dimension of the space of weight 2n cusp forms for Gamma_0( 39 ).

%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 09 2019: (Start)

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