login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A218583 Decimal expansion of the limit of the n-fold application of the natural logarithm to A049384 as n tends to infinity. 0
0, 6, 1, 3, 3, 1, 2, 4, 2, 3, 0, 0, 0, 8, 3, 5, 1, 2, 3, 4, 3, 9, 8, 5, 5, 9, 9, 6, 9, 5, 0, 0, 6, 0, 4, 5, 0, 6, 1, 2, 1, 0, 2, 6, 4, 5, 2, 8, 7, 7, 9, 7, 3, 3, 6, 4, 2, 5, 7, 5, 2, 0, 6, 6, 3, 4, 7, 8, 1, 6, 6, 9, 5, 6, 2, 0, 2, 8, 9, 4, 7, 0, 1, 6, 5, 1, 8, 3, 8, 9, 2, 5, 7, 9, 7, 4, 4, 8, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
The value can be calculated to an accuracy of at least 4.8×10^183230 decimal digits by calculating log(...log(7^...^1)...).
LINKS
Proof that the series converges (StackExchange, 10/09/2012)
FORMULA
-log(...log(n^(n-1)^...^1)...)(n nested log)
EXAMPLE
-0.0613312423000835123439855996950060450612102645287...
MATHEMATICA
p[n_] := HoldForm[n]^(p[n - 1]); p[1] := 1; rules = {Log[x_ y_] :> Log[x] + Log[y], Log[x_^k_] :> k Log[x]}; lnn[x_, n_] := Log[lnn[x, n - 1]]; lnn[x_, 0] := x; RealDigits[ReleaseHold[lnn[p[7], 7] //. rules], 10, 100, 0]
CROSSREFS
Cf. A049384.
Sequence in context: A074453 A069608 A211453 * A181166 A273191 A086316
KEYWORD
nonn,cons
AUTHOR
Benedikt Otten, Nov 03 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 16:11 EDT 2024. Contains 371254 sequences. (Running on oeis4.)