login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A215708 n-th derivative of (x^(x^x))^(x^x) at x=1. 3
1, 1, 4, 24, 148, 1180, 10428, 106876, 1198160, 14843808, 198832320, 2877693984, 44545268832, 734929736736, 12852051257472, 237372559264320, 4614124211454720, 94103610003019008, 2008507968212696064, 44748953208031094784, 1038646472528272158720 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Also n-th derivative of x^((x^x)^2) at x=1.

First term < 0: a(175).

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..400

FORMULA

E.g.f.: (x+1)^((x+1)^(2*x+2)).

MAPLE

a:= n-> n!*coeff(series(subs(x=x+1, x^((x^x)^2) ), x, n+1), x, n):

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

CROSSREFS

Column k=11 of A215703.

Cf. A005727, A179230, A179405, A215524.

Sequence in context: A104531 A225050 A045738 * A192806 A262407 A192927

Adjacent sequences:  A215705 A215706 A215707 * A215709 A215710 A215711

KEYWORD

sign

AUTHOR

Alois P. Heinz, Aug 21 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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