%I #11 May 08 2023 04:46:50

%S -1,76,154,231,308,385,462,537,616,691,770,847,924,997,1078,1153,1232,

%T 1307,1386,1459,1540,1613,1694,1769,1848,1919,2002,2075,2156,2229,

%U 2310,2381,2464,2535,2618,2691,2772,2841,2926,2997,3080,3151

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 86 ).

%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 25 2016: (Start)

%F a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

%F G.f.: -x^2*(1 -76*x -154*x^2 -231*x^3 -309*x^4 -309*x^5 -309*x^6 -230*x^7 -154*x^8 -75*x^9 +x^10 -x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

%F (End)

%K sign

%O 2,2

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