A013076 Expansion of e.g.f. tanh(arcsinh(x) + log(x+1)).

0, 2, -1, -15, 42, 405, -2970, -20475, 335160, 1357965, -54999000, -31340925, 12203314200, -48569546025, -3449672226000, 35421501740625, 1174230285228000, -23134846868508375, -448847662070808000

Offset

0,2

Links

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

Example

2*x - 1/2!*x^2 - 15/3!*x^3 + 42/4!*x^4 + 405/5!*x^5 ...

Maple

seq(coeff(series(factorial(n)*tanh(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[Tanh[ArcSinh[x]+Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 01 2021 *)

Prog

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

Crossrefs

Sequence in context: A039652 A374264 A012894 * A012890 A013073 A184232

Adjacent sequences: A013073 A013074 A013075 * A013077 A013078 A013079

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