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A012415 Expansion of e.g.f. tanh(arctan(x) * exp(x)). 0

%I #11 Dec 13 2018 16:23:20

%S 0,1,2,-1,-28,-115,230,7051,43080,-172327,-6067382,-47080361,

%T 309697324,12289126629,114505019694,-1105109602973,-48948382516592,

%U -522517588252495,7065091754607762,338212264324430255

%N Expansion of e.g.f. tanh(arctan(x) * exp(x)).

%e x + 2/2!*x^2 - 1/3!*x^3 - 28/4!*x^4 - 115/5!*x^5 ...

%t With[{nn=20},CoefficientList[Series[Tanh[ArcTan[x]Exp[x]],{x,0,nn}],x] Range[0,nn]!] * _Harvey P. Dale_, Dec 13 2018 *)

%o (PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(tanh(atan(x) * exp(x))))) \\ _Michel Marcus_, Jul 19 2018

%K sign

%O 0,3

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

%E a(0) inserted and title improved by _Sean A. Irvine_, Jul 18 2018

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Last modified April 23 12:44 EDT 2024. Contains 371913 sequences. (Running on oeis4.)