Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Constructing the "analytical" formula for tetration.
#7
News: I may have just found a really complicated but "explicit" or "non-recursive" formula for the solutions of a general recurrence sequence of the form

,


which these Schroder function coefficient equations belong to.

It's not "nice", though, but it looks to work (no proof yet as it was found by pattern examination). If you want details, just ask. But at least it seems to show that an explicit formula exists, so that there may perhaps be a simpler, more "elegant" one.
Reply


Messages In This Thread
RE: Constructing the "analytical" formula for tetration. - by mike3 - 01/28/2011, 03:12 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  There is a non recursive formula for T(x,k)? marraco 5 593 12/26/2020, 11:05 AM
Last Post: Gottfried
  Constructing real tetration solutions Daniel 4 3,519 12/24/2019, 12:10 AM
Last Post: sheldonison
  Recursive formula generating bounded hyper-operators JmsNxn 0 2,435 01/17/2017, 05:10 AM
Last Post: JmsNxn
  Extrapolated Faá Di Bruno's Formula Xorter 1 3,323 11/19/2016, 02:37 PM
Last Post: Xorter
  on constructing hyper operations for bases > eta JmsNxn 1 4,045 04/08/2015, 09:18 PM
Last Post: marraco
  Explicit formula for the tetration to base [tex]e^{1/e}[/tex]? mike3 1 4,251 02/13/2015, 02:26 PM
Last Post: Gottfried
  Number theoretic formula for hyper operators (-oo, 2] at prime numbers JmsNxn 2 5,491 07/17/2012, 02:12 AM
Last Post: JmsNxn
  fractional iteration by schröder and by binomial-formula Gottfried 0 3,327 11/23/2011, 04:45 PM
Last Post: Gottfried
  simple base conversion formula for tetration JmsNxn 0 4,033 09/22/2011, 07:41 PM
Last Post: JmsNxn
  Change of base formula using logarithmic semi operators JmsNxn 4 10,192 07/08/2011, 08:28 PM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)