A063328 - OEIS

%I #14 Feb 17 2025 11:18:49

%S -1,79,190,298,406,514,622,730,838,946,1054,1166,1270,1378,1486,1598,

%T 1702,1814,1918,2030,2134,2246,2350,2466,2566,2678,2782,2898,2998,

%U 3114,3214,3330,3430,3546,3646,3766,3862,3978,4078,4198,4294

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 55 ).

%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 -79*x -190*x^2 -298*x^3 -407*x^4 -435*x^5 -433*x^6 -353*x^7 -242*x^8 -134*x^9 -25*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

%O 2,2

%A _N. J. A. Sloane_, Jul 14 2001