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A215709
n-th derivative of (x^x)^((x^x)^x) at x=1.
3
1, 1, 4, 24, 172, 1420, 13968, 154336, 1914288, 26108208, 388596960, 6251899104, 108088087776, 1995840455232, 39183950494752, 814399382073120, 17856182764554240, 411671923447488768, 9952212794293198080, 251646630845685827328, 6640389412581544588800
OFFSET
0,3
COMMENTS
Also n-th derivative of (x^((x^x)^x))^x = x^(x^(x^2)*x) at x=1.
LINKS
FORMULA
E.g.f.: (x+1)^((x+1)^(x^2+2*x+2)).
MAPLE
a:= n-> n!*coeff(series(subs(x=x+1, x^(x^(x^2)*x) ), x, n+1), x, n):
seq(a(n), n=0..25);
CROSSREFS
Column k=12 of A215703.
Sequence in context: A369471 A347651 A032349 * A103334 A156017 A000309
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 21 2012
STATUS
approved