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Dimension of the space of weight n cuspidal newforms for Gamma_1( 88 ).
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%I #12 May 02 2023 13:15:14

%S -1,115,248,379,514,645,780,909,1046,1175,1312,1439,1578,1705,1844,

%T 1969,2110,2235,2376,2499,2642,2765,2908,3029,3174,3295,3440,3559,

%U 3706,3825,3972,4089,4238,4355,4504,4619,4770,4885,5036,5149,5302

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 88 ).

%H William A. Stein, <a href="http://wstein.org/Tables/dimskg1new.gp">Dimensions of the spaces S_k^{new}(Gamma_1(N))</a>

%H William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>

%F From _Colin Barker_, Feb 24 2015: (Start)

%F a(n) = a(n-2)+a(n-4)-a(n-6) for n>8.

%F G.f.: x^2*(17*x^6+151*x^5+267*x^4+264*x^3+249*x^2+115*x-1) / ((x-1)^2*(x+1)^2*(x^2+1)).

%F (End)

%K sign

%O 2,2

%A _N. J. A. Sloane_, Jul 14 2001