PROG
(MAGMAMagma) m:=40; R<x>:=PowerSeriesRing(Rationals(), m); Coefficients(R!(Sqrt((1-x+8*x^2)/(1-x)^3))); // Vincenzo Librandi, Jan 25 2020
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Revision History for A108781
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FORMULA
D-finite with recurrence: n*a(n) +(-2*n+1)*a(n-1) +(9*n-25)*a(n-2) +4*(-2*n+5)*a(n-3)=0. - R. J. Mathar, Jan 24 2020
STATUS
proposed
approved
STATUS
editing
proposed
NAME
G.f.: Expansion of sqrt((1-x+8*x^2)/(1-x)^3).
LINKS
N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="httphttps://arXivarxiv.org/abs/math.NT/0509316">On the Integrality of n-th Roots of Generating Functions</a>, JarXiv:math/0509316 [math. Combinatorial Theory, Series A, 113 (NT], 2005-2006), 1732-1745.
N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="https://doi.org/10.1016/j.jcta.2006.03.018">On the Integrality of n-th Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
STATUS
proposed
editing
STATUS
editing
proposed
PROG
(MAGMA) m:=40; R<x>:=PowerSeriesRing(Rationals(), m); Coefficients(R!(Sqrt((1-x+8*x^2)/(1-x)^3))); // Vincenzo Librandi, Jan 25 2020
STATUS
approved
editing
STATUS
editing
approved
FORMULA
D-finite: n*a(n) +(-2*n+1)*a(n-1) +(9*n-25)*a(n-2) +4*(-2*n+5)*a(n-3)=0. - R. J. Mathar, Jan 24 2020
STATUS
approved
editing
STATUS
editing
approved