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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A166928 Decimal expansion of smaller solution to 3^x = x^3. 0
2, 4, 7, 8, 0, 5, 2, 6, 8, 0, 2, 8, 8, 3, 0, 2, 4, 1, 1, 8, 9, 3, 7, 3, 6, 5, 1, 6, 8, 9, 4, 6, 9, 0, 3, 0, 7, 8, 6, 8, 1, 4, 2, 3, 1, 2, 6, 8, 9, 0, 9, 9, 1, 6, 3, 5, 9, 1, 2, 6, 3, 8, 1, 0, 0, 8, 7, 1, 1, 2, 5, 2, 2, 1, 6, 7, 0, 1, 4, 6, 4, 0, 5, 1, 4, 7, 3, 2, 1, 8, 3, 4, 8, 6, 9, 3, 6, 6, 9, 3, 6, 9, 2, 0, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The larger solution is of course 3.

Also, the limit of infinite tetration a^a^...^a of a=3^(1/3) (=A002581), i.e., lim_{n->oo} x(n) where x(n+1)=a^x(n), x(1)=a. - M. F. Hasler, Nov 03 2013

The constant is transcendental (Vassilev-Missana, p. 23). - Peter Bala, Jan 01 2014

LINKS

Table of n, a(n) for n=1..105.

M. Vassilev-Missana, Some results on infinite power towers, Notes on Number Theory and Discrete Mathematics, Vol. 16 (2010) No. 3, 18-24

EXAMPLE

2.47805268028830241189373651689...

MATHEMATICA

RealDigits[ -3*ProductLog[ -Log[3]/3 ] / Log[3], 10, 105] // First (* Jean-Fran├žois Alcover, Mar 05 2013 *)

PROG

(PARI) solve(x=2, exp(1), 3^x-x^3)

CROSSREFS

Sequence in context: A010759 A063034 A094541 * A237199 A092577 A182842

Adjacent sequences:  A166925 A166926 A166927 * A166929 A166930 A166931

KEYWORD

cons,nonn

AUTHOR

Franklin T. Adams-Watters, Oct 23 2009

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 December 8 09:03 EST 2016. Contains 278906 sequences.