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Dimension of the space of weight 2n cusp forms for Gamma_0( 58 ).
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%I #10 Aug 22 2019 12:18:12

%S 6,21,35,51,65,81,95,111,125,141,155,171,185,201,215,231,245,261,275,

%T 291,305,321,335,351,365,381,395,411,425,441,455,471,485,501,515,531,

%U 545,561,575,591,605,621,635,651,665,681,695,711,725,741

%N Dimension of the space of weight 2n cusp forms for Gamma_0( 58 ).

%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 Conjecture: a(n) = (-19+(-1)^n+30*n)/2 for n>1. a(n) = a(n-1)+a(n-2)-a(n-3) for n>4. g.f.: x*(x+2)*(x^2+6*x+3) / ((x-1)^2*(x+1)). [_Colin Barker_, Feb 07 2013]

%K nonn

%O 1,1

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