A110688 - OEIS

%I #11 Sep 06 2017 21:17:07

%S -1,1,-4,19,-73,262,-931,3319,-11884,42679,-153505,552430,-1988311,

%T 7156123,-25754188,92683315,-333539317,1200299014,-4319477491,

%U 15544370887,-55939087228,201306503071,-724436520553,2607011250526,-9381785144287

%N Expansion of -(2*x+1)*(6*x^2+4*x+1)/((3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1)).

%H G. C. Greubel, <a href="/A110688/b110688.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (-7,-17,-20,-12,-6).

%p seriestolist(series(-(2*x+1)*(6*x^2+4*x+1)/((3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1)), x=0,25)); -or- Floretion Algebra Multiplication Program, FAMP Code: tessum(infty)-4jbaseforsumseq[ + 'i - .25'j + .25'k - .25j' + .25k' - .5'ii' - .25'ij' - .25'ik' - .25'ji' - .25'ki' - .5e], Sumtype is set to: default; Fortype is set to: 1A.

%t CoefficientList[Series[-(2*x + 1)*(6*x^2 + 4*x + 1)/((3*x^2 + 3*x + 1)*(2*x^3 + 2*x^2 + 4*x + 1)), {x, 0, 50}], x] (* _G. C. Greubel_, Sep 06 2017 *)

%o (PARI) Vec(-(2*x+1)*(6*x^2+4*x+1)/((3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012

%Y Cf. A110687, A110689, A110679.

%K sign,easy

%O 0,3

%A _Creighton Dement_, Aug 02 2005