A013271 Expansion of e.g.f. arcsin(log(x+1) - arcsinh(x)).

0, 0, -1, 3, -6, 15, -135, 1260, -8820, 65205, -730485, 9459450, -114448950, 1473647175, -22993085115, 390145555800, -6611360956200, 119388158314425, -2419208528762025, 51974244237865950

Offset

0,4

Links

Table of n, a(n) for n=0..19.

Example

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

Mathematica

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 *)

Prog

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

Crossrefs

Sequence in context: A013276 A110809 A013275 * A013272 A013278 A009196

Adjacent sequences: A013268 A013269 A013270 * A013272 A013273 A013274

Keyword

sign

Author

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

Extensions

a(0)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 02 2018

Status

approved