A012286 Expansion of e.g.f.: tanh(sin(x)*log(x+1)).

0, 0, 2, -3, 4, -20, -130, 1869, -12280, 100080, -604742, -829675, 62508620, -1158921972, 17643171702, -190494456075, 1197368304912, 8324510449216, -571700218304142, 14677422922560141, -268070215275170156, 3735756713394119820, -25728057443748879250

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..450

Example

E.g.f. = 2*x^2/2! - 3*x^3/3! + 4*x^4/4! - 20*x^5/5! + ...

Mathematica

With[{nn=30}, CoefficientList[Series[Tanh[Sin[x]Log[x+1]], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, May 06 2013 *)

Prog

(PARI) x='x+O('x^30); concat([0, 0], Vec(serlaplace(tanh(sin(x)* log(x+1))))) \\ G. C. Greubel, Oct 26 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Tanh(Sin(x)*Log(x+1)) )); [0, 0] cat [Factorial(n+1)*b[n]: n in [1..m-2]]; // G. C. Greubel, Oct 26 2018

Crossrefs

Sequence in context: A012576 A012579 A012283 * A302610 A331558 A347210

Adjacent sequences: A012283 A012284 A012285 * A012287 A012288 A012289

Keyword

sign

Author

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

Extensions

Definition clarified by and more terms from Harvey P. Dale, May 06 2013

Status

approved