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%I #11 May 08 2023 04:48:39
%S -1,179,408,634,860,1086,1312,1538,1764,1990,2216,2446,2668,2894,3120,
%T 3350,3572,3802,4024,4254,4476,4706,4928,5162,5380,5610,5832,6066,
%U 6284,6518,6736,6970,7188,7422,7640,7878,8092,8326,8544,8782
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).
%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 -179*x -408*x^2 -634*x^3 -861*x^4 -907*x^5 -905*x^6 -725*x^7 -496*x^8 -270*x^9 -43*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