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A013565 E.g.f. arctanh(log(x+1)/exp(x)). 1
1, -3, 10, -60, 543, -5905, 75430, -1130304, 19427485, -375334543, 8051851146, -190026879548, 4892935459995, -136482933172157, 4099807995824710, -131951024352136160, 4529936084197057465 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..398

EXAMPLE

x - 3/2!*x^2 + 10/3!*x^3 - 60/4!*x^4 + 543/5!*x^5 - ...

MATHEMATICA

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

PROG

(PARI) x='x+O('x^33); Vec(serlaplace(atanh(log(1+x)*exp(-x)))) \\ Joerg Arndt, Nov 17 2016

CROSSREFS

Sequence in context: A018932 A111562 A009654 * A156075 A330624 A034889

Adjacent sequences:  A013562 A013563 A013564 * A013566 A013567 A013568

KEYWORD

sign

AUTHOR

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

STATUS

approved

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Last modified January 26 07:39 EST 2021. Contains 340434 sequences. (Running on oeis4.)