Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Crazy conjecture connecting the sqrt(e) and tetrations!
#2
(04/21/2010, 07:19 PM)rsgerard Wrote: e^(1/e) = 1.444...
Let d = 1/e

Set infinity to be some arbitrarily high number, e.g. 9.99e10000000

I can further generalize this conjecture:

if d= 1/c, for any constant > 1

the infinite tetration of e^(1/e) + d, will reach "infinity" after 1/sqrt© iterations. I can post the data if anyone is interested:

For example, when d=1/10 we reach "infinity" after:
12, 34, 104, 325, 1024 iterations for d=(1/10,1/100,1/10^3,1/10^4)

This series grows at sqrt(10) for each iteration approximately.

Ryan
Reply


Messages In This Thread
RE: Crazy conjecture connecting the sqrt(e) and tetrations! - by rsgerard - 04/21/2010, 07:48 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Inspired by the sqrt tommy1729 0 1,737 02/13/2017, 01:11 AM
Last Post: tommy1729
  @Gottfried : answer to your conjecture on MSE. tommy1729 2 3,303 02/05/2017, 09:38 PM
Last Post: Gottfried
  Are tetrations fixed points analytic? JmsNxn 2 3,611 12/14/2016, 08:50 PM
Last Post: JmsNxn
  Polygon cyclic fixpoint conjecture tommy1729 1 2,631 05/18/2016, 12:26 PM
Last Post: tommy1729
  2015 Continuum sum conjecture tommy1729 3 4,031 05/26/2015, 12:24 PM
Last Post: tommy1729
  Conjecture on semi-exp base change [2015] tommy1729 0 2,038 03/24/2015, 03:14 PM
Last Post: tommy1729
  tetration base sqrt(e) tommy1729 2 3,914 02/14/2015, 12:36 AM
Last Post: tommy1729
  Tommy's conjecture : every positive integer is the sum of at most 8 pentatope numbers tommy1729 0 2,419 08/17/2014, 09:01 PM
Last Post: tommy1729
  [2014] sqrt boundary tommy1729 0 2,021 06/19/2014, 08:03 PM
Last Post: tommy1729
  Wild conjecture about 2 fixpoints. tommy1729 0 2,081 05/03/2014, 10:56 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)