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Breaking New Ground In The Quest For The "Analytical" Formula For Tetration.

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Breaking New Ground In The Quest For The "Analytical" Formula For Tetration.
tommy1729 Offline
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04/10/2011, 09:46 PM
(04/10/2011, 08:33 PM)mike3 Wrote: 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...

what about contour integrals ? euler expressed it as an n'th derivative and those can be given as contour integrals.

its not a sum though nor simple.

( btw as for p(n) being a fractal , i said that before. )

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RE: Breaking New Ground In The Quest For The "Analytical" Formula For Tetration. - by tommy1729 - 04/10/2011, 09:46 PM

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