A013271 - OEIS

%I #16 Aug 03 2018 04:23:46

%S 0,0,-1,3,-6,15,-135,1260,-8820,65205,-730485,9459450,-114448950,

%T 1473647175,-22993085115,390145555800,-6611360956200,119388158314425,

%U -2419208528762025,51974244237865950

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

%e -(1/2!)*x^2 + (3/3!)*x^3 - (6/4!)*x^4 + (15/5!)*x^5 - ...

%t With[{nn=20},Drop[CoefficientList[Series[ArcSin[Log[x+1]-ArcSinh[x]],{x,0,nn}],x]Range[0,nn]!,2]] (* _Harvey P. Dale_, Mar 18 2012 *)

%o (PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(asin(log(x+1) - asinh(x))))) \\ _Michel Marcus_, Aug 03 2018

%K sign

%O 0,4

%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