%I #13 Feb 17 2025 12:34:13

%S -1,5,18,30,42,52,64,76,86,98,110,124,132,144,154,170,178,192,200,216,

%T 222,238,246,264,268,284,290,310,314,332,336,356,358,378,382,404,404,

%U 424,426,450,450,472,472,496,494,518,518,544,540,564,562

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 21 ).

%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 +2*x^8 +13*x^7 +11*x^6 +17*x^5 +19*x^4 +11*x^3 +13*x^2 +6*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