%I #13 Feb 17 2025 12:05:54
%S -1,0,0,1,2,3,4,5,6,7,8,7,10,11,12,11,14,13,16,15,18,17,20,17,22,21,
%T 24,21,26,23,28,25,30,27,32,27,34,31,36,31,38,33,40,35,42,37,44,37,46,
%U 41,48,41,50,43,52,45,54,47,56,47,58,51,60,51,62,53,64
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 5 ).
%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>
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 1, 0, 1, 0, 0, 0, -1).
%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 -x^3 -3*x^4 -3*x^5 -5*x^6 -4*x^7 -4*x^8 -3*x^9 -x^10 +x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).
%F (End)
%Y Cf. A005843 (bisection),
%K sign,changed
%O 2,5
%A _N. J. A. Sloane_, Jul 14 2001