A063357 - OEIS

%I #13 Feb 17 2025 11:41:52

%S -1,72,150,230,314,392,476,548,638,710,802,868,964,1028,1126,1186,

%T 1290,1348,1452,1504,1614,1666,1778,1824,1940,1984,2102,2142,2266,

%U 2304,2428,2460,2590,2622,2754,2780,2916,2940,3078,3098,3242,3260

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 84 ).

%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*(11*x^8 +77*x^7 +86*x^6 +83*x^5 +158*x^4 +79*x^3 +78*x^2 +73*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