07/14/2008, 09:49 PM

Hello.

Without checking the whole forum through, I just wanted to throw in something from my experiences concerning tetration.

I hear there are some different possible solutions to this function, and I'm too curious if the following example is one of them:

While dabbling in this field of maths, I found a formula for 2^^x:

For 0 < x < 1, with n = 0.345627*(2-x), 2^^x ~~ [x*(2^n-1)+1]^(1/n)

(it's not 100% accurate, but ... about 99%, maybe some slight adjustments can fix that)

I could try and waste hours finding other parameters for other bases, but before I do that, I considered obtaining professional info from professional mathematicians.

Thanks in advance,

martin

Without checking the whole forum through, I just wanted to throw in something from my experiences concerning tetration.

I hear there are some different possible solutions to this function, and I'm too curious if the following example is one of them:

While dabbling in this field of maths, I found a formula for 2^^x:

For 0 < x < 1, with n = 0.345627*(2-x), 2^^x ~~ [x*(2^n-1)+1]^(1/n)

(it's not 100% accurate, but ... about 99%, maybe some slight adjustments can fix that)

I could try and waste hours finding other parameters for other bases, but before I do that, I considered obtaining professional info from professional mathematicians.

Thanks in advance,

martin