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%I #11 Sep 22 2015 10:15:06
%S 1,1,4,24,172,1420,13968,154336,1914288,26108208,388596960,6251899104,
%T 108088087776,1995840455232,39183950494752,814399382073120,
%U 17856182764554240,411671923447488768,9952212794293198080,251646630845685827328,6640389412581544588800
%N n-th derivative of (x^x)^((x^x)^x) at x=1.
%C Also n-th derivative of (x^((x^x)^x))^x = x^(x^(x^2)*x) at x=1.
%H Alois P. Heinz, <a href="/A215709/b215709.txt">Table of n, a(n) for n = 0..400</a>
%F E.g.f.: (x+1)^((x+1)^(x^2+2*x+2)).
%p a:= n-> n!*coeff(series(subs(x=x+1, x^(x^(x^2)*x) ), x, n+1), x, n):
%p seq(a(n), n=0..25);
%Y Column k=12 of A215703.
%Y Cf. A005727, A179230, A179405, A215524.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Aug 21 2012
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