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A063247 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 100 ). 2

%I #9 Aug 22 2019 12:18:12

%S 1,5,8,11,14,18,20,24,27,30,33,37,39,43,46,49,52,56,58,62,65,68,71,75,

%T 77,81,84,87,90,94,96,100,103,106,109,113,115,119,122,125,128,132,134,

%U 138,141,144,147,151,153,157

%N Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 100 ).

%H William A. Stein, <a href="http://wstein.org/Tables/dimskg0new.gp">Dimensions of the spaces S_k^{new}(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 08 2019: (Start)

%F G.f.: x*(1 + 5*x + 7*x^2 + 5*x^3 + x^4) / ((1 - x)^2*(1 + x)*(1 + x + x^2)).

%F a(n) = a(n-2) + a(n-3) - a(n-5) for n>5.

%F (End)

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Jul 10 2001

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Last modified July 13 15:08 EDT 2024. Contains 374284 sequences. (Running on oeis4.)