A012907 Expansion of e.g.f. arctanh(arcsin(x) + log(x+1)).

0, 2, -1, 19, -54, 1101, -7350, 164799, -1896216, 47373669, -798078960, 22351446621, -499519816488, 15693898179267, -436537157408352, 15341994434915379, -508785690545526240, 19903928558305223817, -763707284830490571648, 33059096840135852582481, -1436314940244218000486520

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Example

2*x - 1/2!*x^2 + 19/3!*x^3 - 54/4!*x^4 ...

Mathematica

Range[0, 30]! CoefficientList[Series[ArcTanh[ArcSin[x] + Log[x + 1]], {x, 0, 30}], x] (* Vincenzo Librandi, Jul 27 2018 *)

Prog

(PARI) x = 'x + O('x^30); concat(0, Vec(serlaplace(atanh(asin(x) + log(x+1))))) \\ Michel Marcus, Jul 27 2018

Crossrefs

Sequence in context: A013016 A012901 A013021 * A317996 A066753 A103244

Adjacent sequences: A012904 A012905 A012906 * A012908 A012909 A012910

Keyword

sign

Author

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

Extensions

a(0) inserted and title improved by Sean A. Irvine, Jul 27 2018

Status

approved