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%I #20 Aug 22 2019 12:18:12
%S 1,1,2,3,4,4,6,6,7,8,9,9,11,11,12,13,14,14,16,16,17,18,19,19,21,21,22,
%T 23,24,24,26,26,27,28,29,29,31,31,32,33,34,34,36,36,37,38,39,39,41,41,
%U 42,43,44,44,46,46,47,48,49,49,51,51,52,53,54,54,56,56,57,58,59,59,61
%N Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 36 ).
%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).
%H <a href="/index/Tu#2wis">Index entries for two-way infinite sequences</a>
%F G.f.: x(1-x^5)/((1-x)(1-x^2)(1-x^3)), if n>0. a(n)=-a(1-n). a(n+6)=a(n)+5.
%t Rest@ CoefficientList[Series[x (1 - x^5)/((1 - x) (1 - x^2) (1 - x^3)), {x, 0, 73}], x] (* _Michael De Vlieger_, Apr 13 2016 *)
%t LinearRecurrence[{0,1,1,0,-1},{1,1,2,3,4},80] (* _Harvey P. Dale_, Jun 18 2018 *)
%o (PARI) a(n)=5*(n-1)\6+(n%6!=0)
%K nonn
%O 1,3
%A _N. J. A. Sloane_, Jul 10 2001
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