%I #16 Sep 23 2015 09:44:37

%S 1,1,8,48,344,3160,31776,349440,4270304,56343456,794577600,

%T 11975388480,191431339392,3225851451264,57152333898240,

%U 1061030230525440,20569247105571840,415385999498849280,8719401647417757696,189836589049809334272,4278839631584572661760

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

%C Also n-th derivative of x^(x^4) at x=1.

%C First term < 0: a(130).

%H Alois P. Heinz, <a href="/A215706/b215706.txt">Table of n, a(n) for n = 0..400</a>

%F E.g.f.: (x+1)^((x+1)^4).

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

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

%Y Column k=9 of A215703.

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

%K sign

%O 0,3

%A _Alois P. Heinz_, Aug 21 2012