(MAGMAMagma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((1-3*x+5*x^2-5*x^3+5*x^4-5*x^5+5*x^6-3*x^7+x^8)/((1-x)^4*(1+x^4)*(1+x^2)^2))); // Vincenzo Librandi, Sep 07 2013
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(MAGMAMagma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((1-3*x+5*x^2-5*x^3+5*x^4-5*x^5+5*x^6-3*x^7+x^8)/((1-x)^4*(1+x^4)*(1+x^2)^2))); // Vincenzo Librandi, Sep 07 2013
editing
approved
E. Kirkman, J. Kuzmanovich and J. J. Zhang, Invariants of (-1)-Skew Polynomial Rings under Permutation Representations, arXiv preprint arXiv:1305.3973, 2013
E. Kirkman, J. Kuzmanovich and J. J. Zhang, <a href="http://arxiv.org/abs/1305.3973">Invariants of (-1)-Skew Polynomial Rings under Permutation Representations</a>, arXiv preprint arXiv:1305.3973, 2013
approved
editing
editing
approved
(MAGMA) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!( (1-x+x^2)*(1-2 3*x+25*x^2-5*x^3+25*x^4-25*x^5+5*x^6-3*x^7+x^8)/((1+-x^2)^24*(1-+x)^4)*(1+x^42)^2))); // Vincenzo Librandi, Sep 07 2013
G.f.: (1-x+x^2)*(1-2 *x+2*x^2-x^3+2*x^4-2*x^5+x^6)/((1+x^2)^2*(1-x)^4*(1+x^4)).
nonn,easy,new
(MAGMA) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!( (1-x+x^2)*(1-32 *x+52*x^2-5*x^3+52*x^4-52*x^5+5*x^6-3*x^7+x^8)/((1-+x^2)^42*(1+-x)^4)*(1+x^24))^2)); // Vincenzo Librandi, Sep 07 2013
proposed
editing
editing
proposed
(MAGMA) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1-3*x+5*x^2-5*x^3+5*x^4-5*x^5+5*x^6-3*x^7+x^8)/((1-x)^4*(1+x^4)*(1+x^2)^2)); // Vincenzo Librandi, Sep 07 2013
proposed
editing
editing
proposed