Breaking New Ground In The Quest For The "Analytical" Formula For Tetration.
#4
Breaking news:

On this thread on sci.math:
http://groups.google.com/group/sci.math/...e91f?hl=en

I discussed what amounted to a special case of finding the coefficients \( R \) for the finite product in the formulas. Apparently, this does not have a known solution, and the solution for a related problem (partition numbers) looked to be extremely non trivial, involving sophisticated mathematics.

So it seems that for now, the binary-counting based formula will just have to do...
Reply


Messages In This Thread
RE: Breaking New Ground In The Quest For The "Analytical" Formula For Tetration. - by mike3 - 04/10/2011, 08:33 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Divergent Series and Analytical Continuation (LONG post) Caleb 54 63,246 03/18/2023, 04:05 AM
Last Post: JmsNxn
  Pictures of some generalized analytical continuations Caleb 18 21,081 03/17/2023, 12:56 AM
Last Post: tommy1729
  f(x+y) g(f(x)f(y)) = f(x) + f(y) addition formula ? tommy1729 1 3,459 01/13/2023, 08:45 PM
Last Post: tommy1729
Question Formula for the Taylor Series for Tetration Catullus 8 14,766 06/12/2022, 07:32 AM
Last Post: JmsNxn
  There is a non recursive formula for T(x,k)? marraco 5 12,782 12/26/2020, 11:05 AM
Last Post: Gottfried
  Extrapolated Faá Di Bruno's Formula Xorter 1 8,140 11/19/2016, 02:37 PM
Last Post: Xorter
  Explicit formula for the tetration to base [tex]e^{1/e}[/tex]? mike3 1 9,720 02/13/2015, 02:26 PM
Last Post: Gottfried
  fractional iteration by schröder and by binomial-formula Gottfried 0 6,817 11/23/2011, 04:45 PM
Last Post: Gottfried
  simple base conversion formula for tetration JmsNxn 0 7,446 09/22/2011, 07:41 PM
Last Post: JmsNxn
  Change of base formula using logarithmic semi operators JmsNxn 4 20,064 07/08/2011, 08:28 PM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)