A012282 Expansion of e.g.f.: tan(sin(x)*log(x+1)).

0, 0, 2, -3, 4, -20, 350, -3171, 21320, -172080, 2217658, -32208715, 433724300, -5910937812, 92570087766, -1651187049435, 30890555494032, -592724842745984, 12014317527212658, -261952174935402291

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..439

Example

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

Mathematica

With[{nn=20}, CoefficientList[Series[Tan[Sin[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 27 2013 *)

Prog

(PARI) x='x+O('x^30); concat([0, 0], Vec(serlaplace(tan(sin(x)* log(x+1))))) \\ G. C. Greubel, Oct 26 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Tan(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: A012284 A244673 A012574 * A012287 A012575 A012580

Adjacent sequences: A012279 A012280 A012281 * A012283 A012284 A012285

Keyword

sign

Author

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

Extensions

Two zeros prepended and definition clarified by Harvey P. Dale, Jul 27 2013

Status

approved