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A063201 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 18 ). 1

%I #10 Aug 22 2019 12:18:12

%S 0,1,3,2,4,5,5,6,8,7,9,10,10,11,13,12,14,15,15,16,18,17,19,20,20,21,

%T 23,22,24,25,25,26,28,27,29,30,30,31,33,32,34,35,35,36,38,37,39,40,40,

%U 41

%N Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 18 ).

%H R. J. Mathar, <a href="/A063201/b063201.txt">Table of n, a(n) for n = 1..1000</a>

%H G. Martin, <a href="http://dx.doi.org/10.1016/j.jnt.2004.10.009">Dimensions of the spaces of cusp forms and newforms on Gamma_0(N) and Gamma_1(N)</a>, J. Numb. Theory 112 (2005) 298-331, Theorem 1

%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>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1,0,-1).

%F G.f.: x^2*(1+3*x+x^2) / ( (1+x)*(1+x+x^2)*(x-1)^2 ). - _R. J. Mathar_, Jul 15 2015

%K nonn

%O 1,3

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

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Last modified April 19 07:11 EDT 2024. Contains 371782 sequences. (Running on oeis4.)