02/06/2008, 02:56 PM

GFR,

See? That sounds rather nice to have such a link between convergence limit of tetration and ordinate of asymtotic value of pentation. That would mean as noticed earlier that there may be an infinite pahtway from Tetration to Pentation etc. Going into infinity and back( my be wrong comment, please do not take into account).

The double values returned are also interesting, the positive asymptote value should correspond to some very slow operation- may be inverse pentation, what ever it means-is there a definition?.

How did You show (it can be shown...) that what You have shown ? Analytically?

Ivars

See? That sounds rather nice to have such a link between convergence limit of tetration and ordinate of asymtotic value of pentation. That would mean as noticed earlier that there may be an infinite pahtway from Tetration to Pentation etc. Going into infinity and back( my be wrong comment, please do not take into account).

The double values returned are also interesting, the positive asymptote value should correspond to some very slow operation- may be inverse pentation, what ever it means-is there a definition?.

How did You show (it can be shown...) that what You have shown ? Analytically?

Ivars