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%I A063359 #11 May 08 2023 04:46:50
%S A063359 -1,76,154,231,308,385,462,537,616,691,770,847,924,997,1078,1153,1232,
%T A063359 1307,1386,1459,1540,1613,1694,1769,1848,1919,2002,2075,2156,2229,
%U A063359 2310,2381,2464,2535,2618,2691,2772,2841,2926,2997,3080,3151
%N A063359 Dimension of the space of weight n cuspidal newforms for Gamma_1( 86 ).
%H A063359 William A. Stein, <a href="http://wstein.org/Tables/dimskg1new.gp">Dimensions of the spaces S_k^{new}(Gamma_1(N))</a>
%H A063359 William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>
%F A063359 From _Colin Barker_, Feb 25 2016: (Start)
%F A063359 a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.
%F A063359 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 A063359 (End)
%K A063359 sign
%O A063359 2,2
%A A063359 _N. J. A. Sloane_, Jul 14 2001

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