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Expansion of e.g.f. arcsin(tan(x) + log(x+1)).
0

%I #9 Nov 17 2020 15:49:08

%S 0,2,-1,12,-30,518,-3135,64792,-691180,16502714,-261559125,7121210052,

%T -151437029370,4664635385070,-124619795266603,4313193388041072,

%U -138442144387249560,5347435223354818034,-199835788440955821417

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

%e 2*x - 1/2!*x^2 + 12/3!*x^3 - 30/4!*x^4 + 518/5!*x^5 ...

%t With[{nn=20},CoefficientList[Series[ArcSin[Tan[x]+Log[x+1]],{x,0,nn}],x] Range[ 0,nn]!] (* _Harvey P. Dale_, Nov 17 2020 *)

%K sign

%O 0,2

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

%E a(0) inserted and title improved by _Sean A. Irvine_, Jul 27 2018