

A098536


Expansion of 1/((1x)^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
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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(n1) +(3*n4)*a(n2) +(n+2)*a(n3) + 3*(3*n+8)*a(n4)=0.  R. J. Mathar, Nov 10 2014


MATHEMATICA

CoefficientList[Series[1/((1x)^39*x^4)^(1/3), {x, 0, 40}], x] (* Harvey P. Dale, May 11 2011 *)


PROG

(PARI) x='x+O('x^30); Vec(1/((1x)^39*x^4)^(1/3)) \\ G. C. Greubel, Jan 17 2018
(MAGMA) Q:=Rationals(); R<x>:=PowerSeriesRing(Q, 30); Coefficients(R!(1/((1x)^39*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



