A063346 - OEIS

%I #13 Feb 17 2025 11:33:03

%S -1,187,408,630,852,1074,1296,1518,1740,1962,2184,2404,2628,2850,3072,

%T 3292,3516,3736,3960,4180,4404,4624,4848,5066,5292,5512,5736,5954,

%U 6180,6398,6624,6842,7068,7286,7512,7728,7956,8174,8400,8616

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).

%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 -187*x -408*x^2 -630*x^3 -853*x^4 -887*x^5 -889*x^6 -701*x^7 -480*x^8 -258*x^9 -35*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