A013228 Expansion of e.g.f. arcsinh(log(x+1) - arcsin(x)).

0, 0, -1, 1, -6, 15, -105, 390, -3500, 15785, -188685, 946350, -15864750, 90057825, -2127610485, 15254857800, -444774915000, 4213468013625, -130378398500025, 1538133793366950, -48054409884965250

Offset

0,5

Links

Table of n, a(n) for n=0..20.

Example

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

Mathematica

With[{nn=20}, CoefficientList[Series[ArcSinh[Log[x+1]-ArcSin[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Sep 26 2021 *)

Crossrefs

Sequence in context: A029765 A068128 A013222 * A133472 A213873 A372990

Adjacent sequences: A013225 A013226 A013227 * A013229 A013230 A013231

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 01 2018

Status

approved