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

%I #13 Aug 03 2018 04:23:59

%S 0,0,-1,3,-6,15,-105,630,-1260,-6615,-12285,519750,6548850,-111486375,

%T -1379863485,47789141400,-560415655800,8675814972825,-266366151876825,

%U 5553256188630150,-63668362865357250

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

%e -(1/2!)*x^2 + (3/3!)*x^3 - (6/4!)*x^4 + (15/5!)*x^5 - ...

%o (PARI) x = 'x + O('x^30); concat([0, 0], Vec(serlaplace(asinh(log(x+1) - asinh(x))))) \\ _Michel Marcus_, Aug 03 2018

%K sign

%O 0,4

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

%E a(0)=a(1)=0 inserted and title improved by _Sean A. Irvine_, Aug 02 2018