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

%I #11 Sep 08 2022 08:44:38

%S 1,0,0,0,-12,60,-210,1260,-1680,-66528,854040,-9944880,101761704,

%T -561845856,-2175945408,136635189600,-3242837295360,53779020559744,

%U -655909940939712,4733948121328512,61668138518505088

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

%H G. C. Greubel, <a href="/A012289/b012289.txt">Table of n, a(n) for n = 0..450</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[Sech[Sin[x]Log[x+1]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, May 30 2015 *)

%o (PARI) x='x+O('x^30); Vec(serlaplace(1/cosh(sin(x)*log(x+1)))) \\ _G. C. Greubel_, Oct 26 2018

%o (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

%K sign

%O 0,5

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

%E Definition clarified by _Harvey P. Dale_, May 30 2015

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Last modified March 29 03:51 EDT 2024. Contains 371264 sequences. (Running on oeis4.)