A110688 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)).

-1, 1, -4, 19, -73, 262, -931, 3319, -11884, 42679, -153505, 552430, -1988311, 7156123, -25754188, 92683315, -333539317, 1200299014, -4319477491, 15544370887, -55939087228, 201306503071, -724436520553, 2607011250526, -9381785144287

Offset: 0

Author

Creighton Dement, Aug 02 2005

Keywords

• sign
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (-7,-17,-20,-12,-6).

Crossrefs

Cf. A110687, A110689, A110679.

Programs

Maple

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.

Mathematica

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 *)

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