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

%I #14 Jan 23 2018 04:56:40

%S 0,1,-1,0,-6,15,-15,504,-5012,36669,-355365,3899896,-44013354,

%T 548524067,-7497410011,109307996368,-1698988986120,28143721400537,

%U -494300504000457,9172649636106320,-179395936412579630,3688055603972525047

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

%H G. C. Greubel, <a href="/A009579/b009579.txt">Table of n, a(n) for n = 0..449</a>

%t With[{nmax = 50}, CoefficientList[Series[Sinh[Log[1 + x]*Cos[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* _G. C. Greubel_, Jan 22 2018 *)

%o (PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(log(1+x)*cos(x))))) \\ _G. C. Greubel_, Jan 22 2018

%K sign,easy

%O 0,5

%A _R. H. Hardin_

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