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A012516 Expansion of e.g.f. arctanh(sinh(x) * log(x+1)). 1

%I #9 Jul 19 2018 21:19:54

%S 0,0,2,-3,12,-40,430,-3591,37464,-373752,4749658,-65476675,1030634660,

%T -17005495728,307003733062,-5926728736215,123925742441648,

%U -2752109508497296,65023509028085682,-1622290259238643683

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

%H Muniru A Asiru, <a href="/A012516/b012516.txt">Table of n, a(n) for n = 0..100</a>

%e 2/2!*x^2 - 3/3!*x^3 + 12/4!*x^4 - 40/5!*x^5 ...

%p seq(coeff(series(factorial(n)*arctanh(sinh(x)*log(x+1)), x,n+1),x,n),n=0..20); # _Muniru A Asiru_, Jul 19 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 19 2018

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Last modified July 21 04:55 EDT 2024. Contains 374463 sequences. (Running on oeis4.)