%I #12 Sep 08 2022 08:44:38
%S 1,0,0,0,12,-60,210,-1260,18480,-235872,2421960,-26091120,365320296,
%T -5967877344,97738612608,-1617354429600,29014419932160,
%U -574177721782144,12059384791998912,-262395430866467712
%N Expansion of e.g.f. sec(sin(x)*log(x+1)).
%H G. C. Greubel, <a href="/A012288/b012288.txt">Table of n, a(n) for n = 0..439</a>
%e E.g.f. = 1 + 12*x^4/4! - 60*x^5/5! + 210*x^6/6! - 1260*x^7/7! + ...
%t With[{nn=20},CoefficientList[Series[Sec[Sin[x]Log[x+1]],{x,0,nn}],x]Range[0,nn]!] (* _Harvey P. Dale_, Dec 11 2012 *)
%o (PARI) x='x+O('x^30); Vec(serlaplace(1/cos(sin(x)*log(x+1)))) \\ _G. C. Greubel_, Oct 26 2018
%o (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
%K sign
%O 0,5
%A Patrick Demichel (patrick.demichel(AT)hp.com)