A012288 Expansion of e.g.f. sec(sin(x)*log(x+1)).

1, 0, 0, 0, 12, -60, 210, -1260, 18480, -235872, 2421960, -26091120, 365320296, -5967877344, 97738612608, -1617354429600, 29014419932160, -574177721782144, 12059384791998912, -262395430866467712

Offset

0,5

Links

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

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[Sec[Sin[x]Log[x+1]], {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Dec 11 2012 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(1/cos(sin(x)*log(x+1)))) \\ G. C. Greubel, Oct 26 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( 1/Cos(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: A012577 A009148 A012581 * A012582 A260356 A120571

Adjacent sequences: A012285 A012286 A012287 * A012289 A012290 A012291

Keyword

sign

Author

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

Status

approved