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Expansion of e.g.f. arcsin(arctanh(x) * log(x+1)).
0

%I #11 Mar 02 2023 13:44:59

%S 0,0,2,-3,16,-50,488,-3024,35376,-313704,4361472,-52901640,869275680,

%T -13360922640,252154734960,-4681650438360,100596004131840,

%U -2186713427586240,52870374675586560,-1312523172135192960

%N Expansion of e.g.f. arcsin(arctanh(x) * log(x+1)).

%F E.g.f.: arcsin(arctanh(x) * log(x+1)).

%e 2/2!*x^2 - 3/3!*x^3 + 16/4!*x^4 - 50/5!*x^5 ...

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

%K sign

%O 0,3

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

%E a(0) and a(1) inserted and title improved by _Sean A. Irvine_, Jul 24 2018