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A215710 n-th derivative of x^(((x^x)^x)^x) at x=1. 3
1, 1, 2, 21, 152, 1360, 15174, 184296, 2538584, 39097296, 656793720, 12021152616, 237610299288, 5033625978576, 113810068532328, 2733480292962600, 69463846973884800, 1861656629684769600, 52458209090931835584, 1549997983761108724224, 47908467697220966937600 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Also n-th derivative of x^(x^(x^3)) 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)^3)).

MAPLE

a:= n-> n!*coeff(series(subs(x=x+1, x^(x^(x^3)) ), x, n+1), x, n):

seq(a(n), n=0..25);

CROSSREFS

Column k=14 of A215703.

Cf. A005727, A179230, A179405, A215524.

Sequence in context: A098661 A095262 A209519 * A112673 A263435 A202028

Adjacent sequences:  A215707 A215708 A215709 * A215711 A215712 A215713

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 21 2012

STATUS

approved

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Last modified September 23 21:27 EDT 2020. Contains 337315 sequences. (Running on oeis4.)