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A215691 n-th derivative of (x^x)^(x^(x^x)) at x=1. 3
1, 1, 4, 18, 124, 950, 8688, 89600, 1038392, 13309272, 186471480, 2837173152, 46466835072, 815532508440, 15246845864040, 302533865599800, 6344720827608384, 140208886623418752, 3254819745378435264, 79172189409906466560, 2013138139856523598080 (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^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)+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);

CROSSREFS

Column k=13 of A215703.

Cf. A005727, A179230, A179405, A215522, A215524, A215643.

Sequence in context: A228065 A317377 A332748 * A073511 A108704 A001423

Adjacent sequences:  A215688 A215689 A215690 * A215692 A215693 A215694

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 20 2012

STATUS

approved

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Last modified February 23 05:29 EST 2020. Contains 332159 sequences. (Running on oeis4.)