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 A009093 Expansion of e.g.f. cos(tanh(x)*log(1+x)). 1

%I #15 Sep 08 2022 08:44:37

%S 1,0,0,0,-12,60,-90,420,-8960,64512,-299880,3709200,-52709976,

%T 480109344,-4993564576,83895608160,-1246488056320,15764924418944,

%U -251656080793536,4849396180905600,-84861914800295552,1455466222530055680

%N Expansion of e.g.f. cos(tanh(x)*log(1+x)).

%H G. C. Greubel, <a href="/A009093/b009093.txt">Table of n, a(n) for n = 0..250</a>

%t With[{nmax = 30}, CoefficientList[Series[Cos[Tanh[x]*Log[1 + x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* _G. C. Greubel_, Jul 25 2018 *)

%o (PARI) x='x+O('x^30); Vec(serlaplace(cos(tanh(x)*log(1+x)))) \\ _G. C. Greubel_, Jul 25 2018

%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Tanh(x)*Log(1+x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Jul 25 2018

%K sign,easy

%O 0,5

%A _R. H. Hardin_

%E Extended with signs by _Olivier GĂ©rard_, Mar 15 1997

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Last modified May 23 04:41 EDT 2024. Contains 372758 sequences. (Running on oeis4.)