A063345 - OEIS

%I #14 Feb 17 2025 11:32:18

%S -1,55,119,184,247,312,375,441,503,569,631,698,759,826,887,955,1015,

%T 1083,1143,1212,1271,1340,1399,1469,1527,1597,1655,1726,1783,1854,

%U 1911,1983,2039,2111,2167,2240,2295,2368,2423,2497,2551,2625,2679

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 72 ).

%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_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1, 0, 1, 0, -1).

%F From _Colin Barker_, Feb 24 2015: (Start)

%F a(n) = a(n-2)+a(n-4)-a(n-6) for n>8.

%F G.f.: x^2*(8*x^6+73*x^5+129*x^4+129*x^3+120*x^2+55*x-1) / ((x-1)^2*(x+1)^2*(x^2+1)).

%F (End)

%K sign,changed

%O 2,2

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