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A179505 n-th derivative of x^(x^(x^(x^x))) at x=1. 5
1, 1, 2, 9, 56, 480, 4374, 47894, 574888, 7829424, 116392080, 1901059512, 33564909432, 639562529424, 13047133134840, 283976169754440, 6563364026374464, 160538113862231808, 4141949353327046592, 112396373034208003008, 3199752121483607518080 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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)^(x+1)))). - Alois P. Heinz, Aug 21 2012

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..25);  # Alois P. Heinz, Aug 21 2012

MATHEMATICA

f[n_] := D[x^(x^(x^(x^x))), {x, n}] /. x -> 1; Array[f, 16, 0]

Range[0, 20]! CoefficientList[ Series[(1 + x)^(1 + x)^(1 + x)^(1 + x)^(1 + x), {x, 0, 20}], x] (* Robert G. Wilson v, Feb 03 2013 *)

CROSSREFS

Cf. A005727, A179230, A179405, A295105.

Column k=17 of A215703.

Column k=5 of A277537.

Sequence in context: A052840 A308380 A036243 * A211205 A277538 A277539

Adjacent sequences:  A179502 A179503 A179504 * A179506 A179507 A179508

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Jul 17 2010

EXTENSIONS

a(16)-a(20) from Alois P. Heinz, Aug 21 2012

STATUS

approved

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Last modified July 12 06:21 EDT 2020. Contains 335658 sequences. (Running on oeis4.)