A012289 Expansion of e.g.f.: sech(sin(x)*log(x+1)).

1, 0, 0, 0, -12, 60, -210, 1260, -1680, -66528, 854040, -9944880, 101761704, -561845856, -2175945408, 136635189600, -3242837295360, 53779020559744, -655909940939712, 4733948121328512, 61668138518505088

Offset

0,5

Links

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

Example

E.g.f. = 1 - 12*x^4/4! + 60*x^5/5! - 210*x^6/6! + 1260*x^7/7! + ...

Mathematica

With[{nn=20}, CoefficientList[Series[Sech[Sin[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, May 30 2015 *)

Prog

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

Crossrefs

Sequence in context: A004302 A277106 A000554 * A012583 A009049 A012577

Adjacent sequences: A012286 A012287 A012288 * A012290 A012291 A012292

Keyword

sign

Author

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

Extensions

Definition clarified by Harvey P. Dale, May 30 2015

Status

approved