@Gottfried : answer to your conjecture on MSE.

[tommy1729]

Gottried made a conjecture here at the tetration forum about a Sum of iterations.

There is a proof and new question on MSE.

( Will add link to the original conjecture later )

Here they are

http://math.stackexchange.com/questions/...iterations


http://math.stackexchange.com/questions/...-n1-sqrt31

Regards

Tommy1729

[tommy1729]

Here it is

http://math.eretrandre.org/tetrationforu...er#pid5896

Regards

Tommy1729

[Gottfried]

Here it is

http://math.eretrandre.org/tetrationforu...er#pid5896

Regards

Tommy1729

Ha, thanks for the msg and for the link. I'm a bit tired this days so I don't know, whether I'll be able to contribute much more than this&that small comment.

I'd like when I'll see more comprehensive work on that what I think is best to be named "iteration-series" (alternating or nonalternating, one-way - or two-way-infinite extent)

Gottfried