A012281 Expansion of e.g.f. sin(sin(x) * log(x+1)).

0, 0, 2, -3, 4, -20, -10, 609, -3880, 32040, -352742, 3799565, -44271460, 571990068, -7830460482, 113493888585, -1753811009808, 28760379830416, -498456016769742, 9112758567973533, -175322176912457996

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..449

Example

E.g.f. = 2*x^2/2! - 3*x^3/3! + 4*x^4/4! - 20*x^5/5! - 10*x^6/6! + ...

Mathematica

With[{nn=20}, Drop[CoefficientList[Series[Sin[Sin[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, Jun 01 2014 *)

Prog

(PARI) x='x+O('x^30); concat([0, 0], Vec(serlaplace(sin(sin(x)* log(x+1))))) \\ G. C. Greubel, Oct 26 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Sin(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: A247574 A169901 A012285 * A098503 A092974 A058186

Adjacent sequences: A012278 A012279 A012280 * A012282 A012283 A012284

Keyword

sign

Author

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

Extensions

a(0) and a(1) inserted and title improved by Sean A. Irvine, Jul 17 2018

Status

approved