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A063291 Dimension of the space of weight n cuspidal newforms for Gamma_1( 18 ). 0

%I #11 May 02 2023 13:07:59

%S -1,2,6,7,8,13,14,16,20,22,22,27,28,31,34,36,36,42,42,45,48,51,50,56,

%T 56,60,62,65,64,71,70,74,76,80,78,85,84,89,90,94,92,100,98,103,104,

%U 109,106,114,112,118,118,123,120,129,126,132,132,138,134,143

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 18 ).

%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 2016: (Start)

%F a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

%F G.f.: -x^2*(1 -2*x -6*x^2 -7*x^3 -9*x^4 -11*x^5 -9*x^6 -7*x^7 -6*x^8 -2*x^9 +x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

%F (End)

%Y Cf. A315907 (bisection?)

%K sign

%O 2,2

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

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)