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Re: REPOSTING: PowerTower extended to real exponents

• To: mathgroup at smc.vnet.net
• Subject: [mg72367] Re: REPOSTING: PowerTower extended to real exponents
• From: "Ingolf Dahl" <ingolf.dahl at telia.com>
• Date: Tue, 26 Dec 2006 08:43:22 -0500 (EST)
• References: <em8ism$p28$1@smc.vnet.net>

I have uploaded a new version of my notebook PowerTower.nb, download
from http://web.telia.com/~u31815170/Mathematica/

Since the last version, I have changed "horse function" to (Exp[x] -
1), to avoid oscillating functions when x->+Infinity This means
slightly changed values of the constants I have calculated. I have also
included some theory and some graphs in this file, and have structured
it better.

Thus the new value of Pi to the hyper power e (or "Pi tetrated to e")
is
1921616.48318907465

There is an ongoing discussion at sci.math.research ("Tetration
extended to real exponents") about this.

Best regards

Ingolf Dahl