2.
Wir betrachten Permutationen f auf der Menge N der nicht negativen ganzen Zahlen, also bijektive Abbildungen f von N auf N, mit den zusätzlichen Eigenschaften:
Für alle x ∈ N gilt f(f(x)) = x und |f(x)− x| ≤ 3. Weiters sei für alle natürlichen Zahlen n > 42 das Mittel M(n) = 1 n + 1
www.oemo.at2.
We consider permutations f of the set N of non-negative integers, i.e. bijective maps f from N to N, with the following additional properties:
f(f(x)) = x and |f(x)− x| ≤ 3 for all x ∈ N.
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