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A063281 Dimension of the space of weight n cuspidal newforms for Gamma_1( 8 ).

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%I A063281 #13 Feb 17 2025 12:08:24
%S A063281 -1,0,1,3,3,5,5,8,7,10,9,13,11,15,13,18,15,20,17,23,19,25,21,28,23,30,
%T A063281 25,33,27,35,29,38,31,40,33,43,35,45,37,48,39,50,41,53,43,55,45,58,47,
%U A063281 60,49,63,51,65,53,68,55,70,57,73,59,75,61,78,63,80
%N A063281 Dimension of the space of weight n cuspidal newforms for Gamma_1( 8 ).
%H A063281 William A. Stein, <a href="http://wstein.org/Tables/dimskg1new.gp">Dimensions of the spaces S_k^{new}(Gamma_1(N))</a>
%H A063281 William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>
%H A063281 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1, 0, 1, 0, -1).
%F A063281 G.f.: x^2*(2*x^5 +3*x^4 +3*x^3 +2*x^2 -1)/((x -1)^2*(x +1)^2*(x^2 +1)). [_Colin Barker_, Sep 28 2012]
%Y A063281 Cf. A005408 (bisection), A047218 (bisection).
%K A063281 sign
%O A063281 2,4
%A A063281 _N. J. A. Sloane_, Jul 14 2001