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Name for sequence y=0[0]0. y=1[1]1, y=2[2]2, y= n[n]n, y=x[x]x, y=i[i]i, y=z[z]z etc?
#1
In another thread I found interesting expressions (y is a result of those operations, whatever number type it may take):

y=0[0]0
y=1[1]1 = 1
y=2[2]2 = 2*2=4
y=3[3]3 = 3^3^3 = 19683
y=4[4]4=?
.....
y=n[n]n
......
y=x[x]x
......
y= i[ i]i
......
y=z[z]z

(this may be left out : y= q[q]q where q is quaternion...)

The question is, numbers 1, 2, 3, 4, ..n, ...x, i. , z .... q... are "something" - inverted hyperoperations of y.

How should we call this something and can we find these given y?

y=x[x]x, what is x if y is given and how many x will fit the equation?

Ivars
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Name for sequence y=0[0]0. y=1[1]1, y=2[2]2, y= n[n]n, y=x[x]x, y=i[i]i, y=z[z]z etc? - by Ivars - 04/27/2008, 01:53 PM

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