A063313 - OEIS

%I #12 May 02 2023 13:12:12

%S -1,19,44,67,94,117,144,165,194,215,244,263,294,313,344,361,394,411,

%T 444,459,494,509,544,557,594,607,644,655,694,705,744,753,794,803,844,

%U 851,894,901,944,949,994,999,1044,1047,1094,1097,1144,1145

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 40 ).

%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>

%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*(5*x^6+31*x^5+51*x^4+48*x^3+45*x^2+19*x-1) / ((x-1)^2*(x+1)^2*(x^2+1)).

%F (End)

%K sign

%O 2,2

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