A013075 Expansion of e.g.f. arcsinh(arcsinh(x) + log(x+1)).

0, 2, -1, -7, 18, 251, -1785, -19982, 311668, 2913569, -91711485, -552487698, 39470080914, 65100175929, -23245363302525, 96919211293848, 17705730882051720, -211105141092307143, -16681025379015259353

Offset

0,2

Links

Muniru A Asiru, Table of n, a(n) for n = 0..100

Example

2*x - 1/2!*x^2 - 7/3!*x^3 + 18/4!*x^4 + 251/5!*x^5 ...

Maple

seq(coeff(series(factorial(n)*arcsinh(arcsinh(x)+log(x+1)), x, n+1), x, n), n=0..20); # Muniru A Asiru, Jul 30 2018

Mathematica

With[{nn=20}, CoefficientList[Series[ArcSinh[ArcSinh[x]+Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 07 2019 *)

Prog

(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(asinh(asinh(x) + log(x+1))))) \\ Michel Marcus, Jul 30 2018

Crossrefs

Sequence in context: A013070 A012888 A012893 * A009281 A141516 A235378

Adjacent sequences: A013072 A013073 A013074 * A013076 A013077 A013078

Keyword

sign

Author

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

Extensions

a(0)=0 inserted and title improved by Sean A. Irvine, Jul 30 2018

Status

approved