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 A013235 E.g.f. arcsin(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-135/6!*x^6... 1

%I

%S 0,0,-1,0,-6,8,-135,448,-6300,35408,-503685,4051168,-61966674,

%T 652583384,-10926862947,142548422560,-2622105365880,40794310136480,

%U -822873495765321,14853219468665920,-327327482638812190

%N E.g.f. arcsin(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-135/6!*x^6...

%H Vincenzo Librandi, <a href="/A013235/b013235.txt">Table of n, a(n) for n = 0..200</a> (corrected by Sean A. Irvine, Jan 18 2019)

%F a(n) ~ n! * (-1)^(n+1) * c / (n^(3/2) * r^n), where r = 0.8940624905708084527840316322153248827767719... is the root of the equation log(1-r) + tan(r) = -1, c = 0.990137045203584985078038586884002826628... . - _Vaclav Kotesovec_, Feb 04 2015

%t With[{nn=20},Drop[CoefficientList[Series[ArcSin[Log[x+1]-Tan[x]],{x,0,nn}], x]Range[0,nn]!,2]] (* _Harvey P. Dale_, Jan 29 2012 *)

%o (PARI) x='x+O('x^33); concat([0,0],Vec(serlaplace(asin(log(x+1)-tan(x))))) /* _Joerg Arndt_, Jan 30 2012 */

%K sign

%O 0,5

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

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

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Last modified March 25 05:54 EDT 2023. Contains 361511 sequences. (Running on oeis4.)