A215708 - OEIS

%I #12 Sep 22 2015 10:12:47

%S 1,1,4,24,148,1180,10428,106876,1198160,14843808,198832320,2877693984,

%T 44545268832,734929736736,12852051257472,237372559264320,

%U 4614124211454720,94103610003019008,2008507968212696064,44748953208031094784,1038646472528272158720

%N n-th derivative of (x^(x^x))^(x^x) at x=1.

%C Also n-th derivative of x^((x^x)^2) at x=1.

%C First term < 0: a(175).

%H Alois P. Heinz, <a href="/A215708/b215708.txt">Table of n, a(n) for n = 0..400</a>

%F E.g.f.: (x+1)^((x+1)^(2*x+2)).

%p a:= n-> n!*coeff(series(subs(x=x+1, x^((x^x)^2) ), x, n+1), x, n):

%p seq(a(n), n=0..25);

%Y Column k=11 of A215703.

%Y Cf. A005727, A179230, A179405, A215524.

%K sign

%O 0,3

%A _Alois P. Heinz_, Aug 21 2012