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A098536 Expansion of 1/((1-x)^3 - 9*x^4)^(1/3). 3
1, 1, 1, 1, 4, 13, 31, 61, 124, 295, 757, 1873, 4402, 10237, 24421, 59701, 146455, 356308, 862810, 2096632, 5127391, 12583513, 30886735, 75775729, 186054142, 457662265, 1127659903, 2781162079, 6862930768, 16945704721, 41876228125 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Binomial transform is A098536.

LINKS

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

FORMULA

Conjecture: n*a(n) +(-3*n+2)*a(n-1) +(3*n-4)*a(n-2) +(-n+2)*a(n-3) + 3*(-3*n+8)*a(n-4)=0. - R. J. Mathar, Nov 10 2014

MATHEMATICA

CoefficientList[Series[1/((1-x)^3-9*x^4)^(1/3), {x, 0, 40}], x] (* Harvey P. Dale, May 11 2011 *)

PROG

(PARI) x='x+O('x^30); Vec(1/((1-x)^3-9*x^4)^(1/3)) \\ G. C. Greubel, Jan 17 2018

(MAGMA) Q:=Rationals(); R<x>:=PowerSeriesRing(Q, 30); Coefficients(R!(1/((1-x)^3-9*x^4)^(1/3))); // G. C. Greubel, Jan 17 2018

CROSSREFS

Sequence in context: A158842 A100136 A097120 * A216563 A011937 A307304

Adjacent sequences:  A098533 A098534 A098535 * A098537 A098538 A098539

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Sep 13 2004

STATUS

approved

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Last modified February 20 13:20 EST 2020. Contains 332077 sequences. (Running on oeis4.)