A110684 Expansion of (-1-8*x-12*x^2-4*x^3+4*x^4) / ((x-1)*(3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1)).

1, 2, -10, 41, -148, 530, -1885, 6734, -24142, 86765, -312160, 1123478, -4043605, 14553002, -52373938, 188479877, -678279820, 2440905218, -8784007861, 31610747846, -113756727046, 409373349485, -1473201380488, 5301572336126, -19078633636789

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (-6,-10,-3,8,6,6).

Formula

a(n) = -6*a(n-1) - 10*a(n-2) - 3*a(n-3) + 8*a(n-4) + 6*a(n-5) + 6*a(n-6) for n>5. - Colin Barker, May 19 2019

Maple

seriestolist(series((-1-8*x-12*x^2-4*x^3+4*x^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)-4kbaseforsumseq[ + 'i - .25'j + .25'k - .25j' + .25k' - .5'ii' - .25'ij' - .25'ik' - .25'ji' - .25'ki' - .5e], Sumtype is set to: sum[Y[15]] = sum[ * ], Fortype is set to: 1A.

Mathematica

CoefficientList[Series[(-1 - 8*x - 12*x^2 - 4*x^3 + 4*x^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 *)

Prog

(PARI) Vec((-1-8*x-12*x^2-4*x^3+4*x^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

Crossrefs

Cf. A110683, A110685, A110686.

Sequence in context: A051540 A272135 A125130 * A197175 A297047 A037561

Adjacent sequences: A110681 A110682 A110683 * A110685 A110686 A110687

Keyword

sign,easy

Author

Creighton Dement, Aug 02 2005

Status

approved