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Expansion of e.g.f. arcsinh(cosh(x) * log(x+1)).
0

%I #10 Jul 27 2018 04:35:31

%S 0,1,-1,4,-6,-7,135,-968,1764,58669,-1068885,10920908,-41078730,

%T -1105690419,31085174939,-413045671712,692738905320,126897371107929,

%U -3901725279332361,61836650105641300,-52537696659319150

%N Expansion of e.g.f. arcsinh(cosh(x) * log(x+1)).

%e x - 1/2!*x^2 + 4/3!*x^3 - 6/4!*x^4 - 7/5!*x^5 ...

%t Range[0, 20]! CoefficientList[ Series[ArcSinh[Cosh[x] Log[x + 1]], {x, 0, 20}], x] (* _Robert G. Wilson v_, Jul 24 2018 *)

%K sign

%O 0,4

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

%E a(0) inserted and title improved by _Sean A. Irvine_, Jul 24 2018