A013288 Expansion of e.g.f. arcsinh(log(x+1) - tanh(x)).

0, 0, -1, 4, -6, 8, -105, 572, 700, -18800, 43155, -348988, 11050974, 22646648, -3799664869, 70348059420, -1064959301640, 20100827554720, -347358967505721, 3994110465051908, -23620965746527550, -181317478589886104, 16354059994502026335

Offset

0,4

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Example

-(1/2!)*x^2 + (4/3!)*x^3 - (6/4!)*x^4 + (8/5!)*x^5 - ...

Mathematica

Range[0, 25]! CoefficientList[Series[ArcSinh[Log[x + 1] - Tanh[x]], {x, 0, 25}], x] (* Vincenzo Librandi, Aug 03 2018 *)

Prog

(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(1 + Argsinh(Log(x+1) - Tanh(x)))); [0] cat [Factorial(n-1)*b[n]: n in [2..m]]; // Vincenzo Librandi, Aug 03 2018

Crossrefs

Sequence in context: A190630 A013285 A013289 * A013282 A013287 A013283

Adjacent sequences: A013285 A013286 A013287 * A013289 A013290 A013291

Keyword

sign

Author

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

Extensions

a(0)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 03 2018

Status

approved