A063348 - OEIS

%I #13 Feb 17 2025 11:34:30

%S -1,119,256,394,532,671,809,947,1086,1224,1362,1499,1639,1777,1916,

%T 2052,2192,2329,2469,2605,2746,2882,3022,3157,3299,3435,3576,3710,

%U 3852,3987,4129,4263,4406,4540,4682,4815,4959,5093,5236,5368,5512

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 75 ).

%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*(20*x^8 +139*x^7 +139*x^6 +156*x^5 +259*x^4 +137*x^3 +137*x^2 +120*x -1) / ((x -1)^2*(x +1)^2*(x^2 -x +1)*(x^2 +1)). - _Colin Barker_, Feb 24 2015

%K sign,changed

%O 2,2

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