A215710 - OEIS

%I #11 Sep 22 2015 10:17:17

%S 1,1,2,21,152,1360,15174,184296,2538584,39097296,656793720,

%T 12021152616,237610299288,5033625978576,113810068532328,

%U 2733480292962600,69463846973884800,1861656629684769600,52458209090931835584,1549997983761108724224,47908467697220966937600

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

%C Also n-th derivative of x^(x^(x^3)) at x=1.

%H Alois P. Heinz, <a href="/A215710/b215710.txt">Table of n, a(n) for n = 0..400</a>

%F E.g.f.: (x+1)^((x+1)^((x+1)^3)).

%p a:= n-> n!*coeff(series(subs(x=x+1, x^(x^(x^3)) ), x, n+1), x, n):

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

%Y Column k=14 of A215703.

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

%K nonn

%O 0,3

%A _Alois P. Heinz_, Aug 21 2012