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Expansion of e.g.f. sinh(log(1+x)/cosh(x)).
1

%I #13 Jan 23 2018 05:19:48

%S 0,1,-1,0,-6,35,-75,784,-10052,61221,-392445,6267976,-85062714,

%T 868090431,-10957052015,185215163288,-2957955829800,45586843784873,

%U -803382792009849,15611619063139568,-304944064099178510

%N Expansion of e.g.f. sinh(log(1+x)/cosh(x)).

%H G. C. Greubel, <a href="/A009583/b009583.txt">Table of n, a(n) for n = 0..449</a>

%t With[{nmax = 50}, CoefficientList[Series[Sinh[Log[1 + x]/Cosh[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* _G. C. Greubel_, Jan 22 208 *)

%o (PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(log(1+x)/cosh(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