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A110687 Expansion of -(7*x^2+3*x-1)*(2*x^2+2*x+1) / ((3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1)). 3
1, -8, 28, -100, 358, -1276, 4558, -16342, 58732, -211306, 760498, -2737168, 9851098, -35452510, 127584124, -459135130, 1652275834, -5945992576, 21397667026, -77003195254, 277109379628, -997226422690, 3588693361378, -12914539595584, 46475225095450 (list; graph; refs; listen; history; text; internal format)
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 (-7,-17,-20,-12,-6).

FORMULA

a(n) = -7*a(n-1) - 17*a(n-2) - 20*a(n-3) - 12*a(n-4) - 6*a(n-5) for n>4. - Colin Barker, May 19 2019

MAPLE

seriestolist(series(-(7*x^2+3*x-1)*(2*x^2+2*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)-4basekforsumseq[ + '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[-(7*x^2 + 3*x - 1)*(2*x^2 + 2*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(-(7*x^2+3*x-1)*(2*x^2+2*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. A110688, A110689, A110679.

Sequence in context: A184606 A054114 A305907 * A153365 A317149 A316879

Adjacent sequences: A110684 A110685 A110686 * A110688 A110689 A110690

KEYWORD

sign,easy

AUTHOR

Creighton Dement, Aug 02 2005

STATUS

approved

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Last modified December 10 02:09 EST 2022. Contains 358712 sequences. (Running on oeis4.)