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%I #13 Feb 17 2025 11:31:33
%S -1,176,385,595,805,1015,1225,1435,1645,1855,2065,2273,2485,2695,2905,
%T 3113,3325,3533,3745,3953,4165,4373,4585,4791,5005,5213,5425,5631,
%U 5845,6051,6265,6471,6685,6891,7105,7309,7525,7731,7945,8149
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 71 ).
%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 25 2016: (Start)
%F a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.
%F G.f.: -x^2*(1 -176*x -385*x^2 -595*x^3 -806*x^4 -839*x^5 -841*x^6 -664*x^7 -455*x^8 -245*x^9 -34*x^10 +x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).
%F (End)
%K sign,changed
%O 2,2
%A _N. J. A. Sloane_, Jul 14 2001