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%I #11 May 02 2023 12:57:58
%S -1,0,0,0,1,1,2,0,3,1,4,1,5,1,6,1,7,2,8,1,9,2,10,2,11,2,12,2,13,3,14,
%T 2,15,3,16,3,17,3,18,3,19,4,20,3,21,4,22,4,23,4,24,4,25,5,26,4,27,5,
%U 28,5,29,5,30,5,31,6,32,5,33,6,34,6,35,6,36,6,37,7,38
%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 4 ).
%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 24 2016: (Start)
%F a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.
%F G.f.: -x^2*(1 -2*x^4 -x^5 -3*x^6 -2*x^8) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).
%F (End)
%Y Cf. A000027 (bisection), A008615 (bisection)
%K sign
%O 2,7
%A _N. J. A. Sloane_, Jul 14 2001