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I'm just dabbling here.

I agree with Sheldon almost at all. If I were you, I would use the following notations:

Hn(a,b) = a[n]b = H(a,n,b) or the Knuth's uparrows, the second is simplest as I think.
If you want iterate an operator, just use the following functional power formula:
y [z+1] x = (y [z] x)^o(y-1) o y
I suppose that z can be  negative, zero, rational, real or complex, too.
But if you follow Sheldon's zeration formula, it will not lead to addition, so I think that is wrong.
But Sheldon has a lot of successful pari/gp programme and ideas for the realizations of from the tetration to heptation, but hard to interpolate with rational or real numbers.

Good luck!  Wink

Xorter Unizo

Messages In This Thread
I'm just dabbling here. - by ChaoticMC - 07/07/2018, 02:44 AM
RE: I'm just dabbling here. - by sheldonison - 07/09/2018, 02:07 PM
RE: I'm just dabbling here. - by Xorter - 07/09/2018, 08:34 PM
RE: I'm just dabbling here. - by sheldonison - 07/10/2018, 10:34 PM

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