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A216351 n-th derivative of x^(x^(n-1)) at x=1. 4
1, 1, 2, 12, 156, 3160, 87990, 3218628, 150271520, 8710554816, 610951827960, 50770346742720, 4919197411068072, 548907184341479808, 69823173142960626480, 10034787531626188107840, 1616352219917942008147200, 289720383156740969786941440 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

x^(x^(n-1)) = (((x^x)^x)^ ... )^x with n x's.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..275

FORMULA

a(n) = n! * [x^n] (x+1)^((x+1)^(n-1)).

a(n) = A216349(n,1) = A216350(n,A000081(n)) for n>0.

MAPLE

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

seq(a(n), n=0..20);

CROSSREFS

Cf. A000081, A216349, A216350, A215703.

Sequence in context: A177777 A053549 A139383 * A130529 A075631 A127182

Adjacent sequences:  A216348 A216349 A216350 * A216352 A216353 A216354

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 04 2012

STATUS

approved

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