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A tiny base-dependent formula for tetration (change-of-base?)

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A tiny base-dependent formula for tetration (change-of-base?)
Gottfried Offline
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03/17/2009, 06:36 PM (This post was last modified: 12/30/2017, 09:20 PM by Gottfried.)
Hmm, curious... curious... ,

things evolve a bit more. From the tetrated pascalmatrices we can also derive a fractional iteration if we apply the binomial-formula to the sequence of powerseries for different heights. Since the powerseries have this stunning smooth behave for increasing heights, the binomially interpolated series are accordingly smooth.
This seems all to be too crazy.... very smooth for the convergence bases and possibly continuable for the divergent cases, don't see it yet.

See the new chapter 2 in
PascalmatrixTetrated

Gottfried
Gottfried Helms, Kassel
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RE: A tiny base-dependent formula for tetration (change-of-base?) - by Gottfried - 03/17/2009, 06:36 PM

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