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%I #9 Jul 19 2018 03:05:05
%S 0,1,2,0,-16,-52,200,3752,18496,-190384,-4797152,-28063552,661457920,
%T 17348360768,74504846208,-4999196993152,-124352680593408,
%U -83620707815168,65968266617811456,1541961961341134848
%N Expansion of e.g.f. arcsinh(arctan(x) * exp(x)).
%e x + 2/2!*x^2 - 16/4!*x^4 - 52/5!*x^5 + 200/6!*x^6 ...
%o (PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(asinh(atan(x) * exp(x))))) \\ _Michel Marcus_, Jul 19 2018
%K sign
%O 0,3
%A Patrick Demichel (patrick.demichel(AT)hp.com)
%E a(0) inserted and title improved by _Sean A. Irvine_, Jul 18 2018