A013564 Expansion of e.g.f. arcsinh(log(x+1)/exp(x)).

1, -3, 7, -6, -117, 1385, -8297, -25956, 1648321, -27076303, 193866363, 3316610110, -155740823565, 3027137980477, -15561540714197, -1235594001526472, 54043406644859329, -1102221843621842235

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..200

Formula

E.g.f.: arcsinh(log(x+1)/exp(x)).

Example

x - 3/2!*x^2 + 7/3!*x^3 - 6/4!*x^4 - 117/5!*x^5 + ...

Mathematica

CoefficientList[Series[ArcSin[Log[x + 1]/Exp[x]], {x, 0, 20}], x]*Range[0, 20]! (* G. C. Greubel, Nov 13 2016 *)

Crossrefs

Sequence in context: A213931 A213401 A363146 * A009467 A258982 A227336

Adjacent sequences: A013561 A013562 A013563 * A013565 A013566 A013567

Keyword

sign

Author

Patrick Demichel (patrick.demichel(AT)hp.com), Dec 11 1996

Status

approved