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A098538 Expansion of 1/((1-x)^3 - 18*x^4)^(1/3). 2

%I #8 Sep 08 2022 08:45:15

%S 1,1,1,1,7,25,61,121,283,841,2521,6769,17119,44665,123685,347497,

%T 954787,2578297,7001617,19307089,53601175,148305817,408681997,

%U 1127558041,3124344427,8681565865,24127128841,67020060721,186282015823

%N Expansion of 1/((1-x)^3 - 18*x^4)^(1/3).

%C Binomial transform of A098537.

%H G. C. Greubel, <a href="/A098538/b098538.txt">Table of n, a(n) for n = 0..1000</a>

%t CoefficientList[Series[1/((1-x)^3-18*x^4)^(1/3), {x,0,50}], x] (* _G. C. Greubel_, Jan 17 2018 *)

%o (PARI) x='x+O('x^30); Vec(1/((1-x)^3-18*x^4)^(1/3)) \\ _G. C. Greubel_, Jan 17 2018

%o (Magma) Q:=Rationals(); R<x>:=PowerSeriesRing(Q,30); Coefficients(R!(1/((1-x)^3-18*x^4)^(1/3))); // _G. C. Greubel_, Jan 17 2018

%Y Cf. A098536.

%K easy,nonn

%O 0,5

%A _Paul Barry_, Sep 13 2004

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Last modified April 19 03:05 EDT 2024. Contains 371782 sequences. (Running on oeis4.)