A012321 Expansion of e.g.f. sinh(arcsin(x) * exp(x)).

0, 1, 2, 5, 20, 125, 830, 6001, 45768, 394553, 3699418, 38758909, 433324828, 5299232757, 68428221654, 958395448297, 14101599762448, 223667919165041, 3706771205012274, 65843651814440309, 1215858569345385636

Offset

0,3

Links

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

Example

x + 2/2!*x^2 + 5/3!*x^3 + 20/4!*x^4 + 125/5!*x^5 ...

Mathematica

With[{nn=30}, CoefficientList[Series[Sinh[ArcSin[x]Exp[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jan 06 2019 *)

Crossrefs

Sequence in context: A009599 A112833 A144503 * A012519 A076795 A130293

Adjacent sequences: A012318 A012319 A012320 * A012322 A012323 A012324

Keyword

nonn

Author

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

Extensions

a(0) inserted and title improved by Sean A. Irvine, Jul 17 2018

Status

approved