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%I #9 Sep 26 2021 12:36:03
%S 0,0,-1,1,-6,15,-105,390,-3500,15785,-188685,946350,-15864750,
%T 90057825,-2127610485,15254857800,-444774915000,4213468013625,
%U -130378398500025,1538133793366950,-48054409884965250
%N Expansion of e.g.f. arcsinh(log(x+1) - arcsin(x)).
%e -1/2!*x^2 + 1/3!*x^3 - 6/4!*x^4 + 15/5!*x^5 ...
%t With[{nn=20},CoefficientList[Series[ArcSinh[Log[x+1]-ArcSin[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Sep 26 2021 *)
%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