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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A231098 Decimal expansion of the power tower of the ratio Pi/E. 2
1, 1, 8, 7, 5, 2, 3, 6, 3, 5, 3, 5, 9, 2, 4, 9, 9, 0, 5, 4, 3, 8, 4, 0, 7, 9, 0, 2, 8, 2, 3, 6, 3, 2, 7, 7, 3, 2, 9, 2, 4, 0, 6, 0, 5, 3, 1, 2, 1, 9, 5, 2, 3, 7, 8, 9, 0, 6, 0, 3, 1, 3, 6, 5, 9, 4, 3, 5, 0, 0, 0, 4, 5, 1, 8, 6, 6, 2, 3, 8, 3, 7, 7, 5, 9, 3, 0, 3, 4, 9, 9, 0, 4, 7, 6, 8, 2, 2, 8, 1, 5, 8, 2, 0, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

This limit for n->infinity of the tetration (Pi/E)^^n exists because Pi/E < E^(1/E). Its value is also the smaller one of the two solutions of x*(E/Pi)^x = 1.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..2000

Stanislav Sykora, PARI/GP script for Tetration Limit

Wikipedia, Lambert W function

Wikipedia, Tetration

EXAMPLE

1.18752363535924990543840790...

PROG

(PARI) See the above link

CROSSREFS

Sequence in context: A114137 A185346 A200017 * A072003 A160668 A086033

Adjacent sequences:  A231095 A231096 A231097 * A231099 A231100 A231101

KEYWORD

nonn,cons

AUTHOR

Stanislav Sykora, Nov 06 2013

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified March 25 01:30 EDT 2017. Contains 284036 sequences.