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%I #11 May 02 2023 10:08:01
%S -1,86,184,284,382,482,580,680,778,878,976,1076,1174,1274,1372,1472,
%T 1570,1670,1768,1868,1966,2066,2164,2264,2362,2462,2560,2660,2758,
%U 2858,2956,3056,3154,3254,3352,3452,3550,3650,3748,3848,3946,4046
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 80 ).
%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 a(n) = (-(-1)^n+198*n-423)/2 for n>2. a(n) = a(n-1)+a(n-2)-a(n-3) for n>5. G.f.: x^2*(-1+87*x+99*x^2+13*x^3)/((1-x)^2*(1+x)). [_Colin Barker_, Sep 28 2012]
%K sign
%O 2,2
%A _N. J. A. Sloane_, Jul 14 2001