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%I #11 May 08 2023 04:48:18
%S -1,222,481,741,1001,1261,1521,1781,2041,2301,2561,2819,3081,3341,
%T 3601,3859,4121,4379,4641,4899,5161,5419,5681,5937,6201,6459,6721,
%U 6977,7241,7497,7761,8017,8281,8537,8801,9055,9321,9577,9841,10095
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).
%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 -222*x -481*x^2 -741*x^3 -1002*x^4 -1039*x^5 -1041*x^6 -818*x^7 -559*x^8 -299*x^9 -38*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