A063342 - OEIS

%I #13 Feb 17 2025 11:29:56

%S -1,109,242,374,506,636,768,900,1030,1162,1294,1428,1556,1688,1818,

%T 1954,2082,2216,2344,2480,2606,2742,2870,3008,3132,3268,3394,3534,

%U 3658,3796,3920,4060,4182,4322,4446,4588,4708,4848,4970,5114,5234

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 69 ).

%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_08">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, -1, 2, -1, 0, 1, -1).

%F g.f.: x^2*(x^9 +18*x^8 +133*x^7 +131*x^6 +153*x^5 +243*x^4 +131*x^3 +133*x^2 +110*x -1) / ((x -1)^2*(x +1)^2*(x^2 -x +1)*(x^2 +1)). - _Colin Barker_, Feb 24 2015

%K sign

%O 2,2

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