A063349 - OEIS

%I #13 Feb 17 2025 11:35:23

%S -1,87,192,297,400,505,608,717,816,925,1024,1135,1232,1345,1440,1555,

%T 1648,1763,1856,1975,2064,2183,2272,2393,2480,2603,2688,2813,2896,

%U 3021,3104,3233,3312,3441,3520,3651,3728,3861,3936,4071,4144

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 76 ).

%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 -87*x -192*x^2 -297*x^3 -401*x^4 -418*x^5 -417*x^6 -333*x^7 -224*x^8 -123*x^9 -15*x^10) / ((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