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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Also n-th derivative of (x^((x^x)^x))^x = x^(x^(x^2)*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^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.

Cf. A005727, A179230, A179405, A215524.

Sequence in context: A052685 A221088 A032349 * A103334 A156017 A000309

Adjacent sequences:  A215706 A215707 A215708 * A215710 A215711 A215712

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 21 2012

STATUS

approved

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Last modified September 23 22:32 EDT 2020. Contains 337315 sequences. (Running on oeis4.)