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A012590 Expansion of e.g.f. arcsinh(arcsinh(x) * exp(x)). 1
0, 1, 2, 1, -12, -67, -50, 2917, 31752, 49849, -3711302, -59694967, -115031620, 13336031733, 273381245254, 558981564013, -100703000514928, -2505740944272783, -5344180827839502, 1386297984879140881, 40546775857977524228, 85953748442906064173, -31561185255306611700930 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

EXAMPLE

x + 2/2!*x^2 + 1/3!*x^3 - 12/4!*x^4 - 67/5!*x^5 ...

MATHEMATICA

Range[0, 30]! CoefficientList[Series[ArcSinh[ArcSinh[x] Exp[x]], {x, 0, 30}], x] (* Vincenzo Librandi, Jul 20 2018 *)

CROSSREFS

Sequence in context: A009831 A012931 A013159 * A012291 A012585 A053566

Adjacent sequences:  A012587 A012588 A012589 * A012591 A012592 A012593

KEYWORD

sign

AUTHOR

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

EXTENSIONS

a(0) inserted and title improved by Sean A. Irvine, Jul 20 2018

STATUS

approved

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Last modified July 10 12:34 EDT 2020. Contains 335576 sequences. (Running on oeis4.)