A012874 Expansion of e.g.f.: arcsinh(sech(x)*log(x+1))=x-1/2!*x^2-2/3!*x^3+6/4!*x^4+33/5!*x^5...

0, 1, -1, -2, 6, 33, -285, -30, 13580, -35987, -1418445, 14453470, 125352282, -3470151531, -8211284081, 1077876542834, -6851721057480, -332020513124583, 5842787569074567, 104612291816295422

Offset

1,4

Links

Table of n, a(n) for n=1..20.

Mathematica

With[{nn=20}, CoefficientList[Series[ArcSinh[Sech[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Oct 22 2019 *)

Crossrefs

Sequence in context: A209238 A053042 A174432 * A005161 A062970 A259436

Adjacent sequences: A012871 A012872 A012873 * A012875 A012876 A012877

Keyword

sign

Author

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

Extensions

Zero prepended and definition clarified by Harvey P. Dale, Oct 22 2019

Status

approved