OFFSET
0,3
COMMENTS
Also n-th derivative of (x^(x^x))^x = x^(x^x*x) at x=1.
First term < 0: a(65).
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..400
FORMULA
E.g.f.: (x+1)^((x+1)^(x+2)).
MAPLE
a:= n-> n!*coeff(series(subs(x=x+1, (x^x)^(x^x) ), x, n+1), x, n):
seq(a(n), n=0..30);
MATHEMATICA
m = 21; CoefficientList[(x+1)^((x+1)^(x+2)) + O[x]^(m+1), x]*Range[0, m]! (* Jean-François Alcover, Feb 07 2021 *)
CROSSREFS
KEYWORD
sign
AUTHOR
Alois P. Heinz, Aug 14 2012
STATUS
approved