OFFSET
0,3
COMMENTS
Also n-th derivative of x^((x^x)^(x^x)) = x^(x^(x^x*x)) at x=1.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..400
FORMULA
E.g.f.: (x+1)^(((x+1)^((x+1)^(x+1)))^(x+1)).
MAPLE
a:= n-> n!*coeff(series(subs(x=x+1, x^((x^(x^x))^x) ), x, n+1), x, n):
seq(a(n), n=0..30);
MATHEMATICA
m = 20;
CoefficientList[(x+1)^(((x+1)^((x+1)^(x+1)))^(x+1)) + O[x]^(m+1), x]* Range[0, m]! (* Jean-François Alcover, Feb 07 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 18 2012
STATUS
approved