login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A215643 n-th derivative of x^((x^(x^x))^x) at x=1. 4
1, 1, 2, 15, 104, 890, 8814, 100660, 1288048, 18337680, 286674960, 4882660464, 89880715704, 1777384045944, 37552294300416, 843830334815640, 20086549955304384, 504750167170162944, 13348550475903813120, 370499740676381737728, 10766442934111876381440 (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)))^(x+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=15 of A215703.

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

Sequence in context: A293045 A081018 A006675 * A295268 A037524 A037733

Adjacent sequences:  A215640 A215641 A215642 * A215644 A215645 A215646

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 18 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 17 06:00 EDT 2019. Contains 327119 sequences. (Running on oeis4.)