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A063152 Dimension of the space of weight 2n cusp forms for Gamma_0( 84 ). 0

%I #15 Aug 22 2019 12:18:12

%S 11,42,74,106,138,170,202,234,266,298,330,362,394,426,458,490,522,554,

%T 586,618,650,682,714,746,778,810,842,874,906,938,970,1002,1034,1066,

%U 1098,1130,1162,1194,1226,1258,1290,1322,1354,1386,1418,1450,1482,1514,1546

%N Dimension of the space of weight 2n cusp forms for Gamma_0( 84 ).

%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*(11 + 20*x + x^2) / (1 - x)^2.

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

%F a(n) = 32*n - 22 for n>1.

%F (End)

%K nonn

%O 1,1

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

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