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A013237 Expansion of e.g.f. arctan(log(x+1) - tan(x)). 1

%I #11 Aug 02 2018 02:36:32

%S 0,0,-1,0,-6,8,-90,448,-2520,26336,-120960,1722688,-8914752,110138624,

%T -763819056,2510508544,-23764540800,-1852444415488,25138910788992,

%U -839278029937664,14518492774196480,-301837255570263040,6080193763585041408,-100072615179212095488

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

%H Vincenzo Librandi, <a href="/A013237/b013237.txt">Table of n, a(n) for n = 0..200</a>

%e -1/2!*x^2 - 6/4!*x^4 + 8/5!*x^5 - 90/6!*x^6 ...

%t Range[0, 25]! CoefficientList[Series[ArcTan[Log[x + 1] - Tan[x]], {x, 0, 25}], x] (* _Vincenzo Librandi_, Aug 02 2018 *)

%o (PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(atan(log(x+1) - tan(x))))) \\ _Michel Marcus_, Aug 02 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 02 2018

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Last modified August 4 06:38 EDT 2024. Contains 374905 sequences. (Running on oeis4.)