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Dimension of the space of weight 2n cusp forms for Gamma_0( 30 ).
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%I #13 Jun 25 2022 21:43:15

%S 3,14,26,38,50,62,74,86,98,110,122,134,146,158,170,182,194,206,218,

%T 230,242,254,266,278,290,302,314,326,338,350,362,374,386,398,410,422,

%U 434,446,458,470,482,494,506,518,530,542,554,566,578,590

%N Dimension of the space of weight 2n cusp forms for Gamma_0( 30 ).

%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*(3 + 8*x + x^2) / (1 - x)^2.

%F a(n) = 2*a(n-1) - a(n-2) for n>3.

%F a(n) = 2*(6*n-5) for n>1.

%F (End)

%Y Conjectured first differences of A126587.

%K nonn

%O 1,1

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