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A013230 Expansion of e.g.f. arctanh(log(x+1) - arcsin(x)). 0

%I #9 Aug 02 2018 17:25:31

%S 0,0,-1,1,-6,15,-150,705,-8120,56315,-750960,7042275,-106939800,

%T 1270108125,-21672530880,312137314125,-5928695604000,100366159008375,

%U -2104970646729600,40921600563449775

%N Expansion of e.g.f. arctanh(log(x+1) - arcsin(x)).

%e -1/2!*x^2 + 1/3!*x^3 - 6/4!*x^4 + 15/5!*x^5 ...

%t Range[0, 20]! CoefficientList[ Series[ ArcTanh[ Log[x + 1] - ArcSin[x]], {x, 0, 20}], x] (* _Robert G. Wilson v_, Aug 01 2018 *)

%K sign

%O 0,5

%A Patrick Demichel (patrick.demichel(AT)hp.com)

%E a(0)=a(1)=0 inserted and title improved by _Sean A. Irvine_, Aug 01 2018

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)