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Length of iteration until fixed point is reached when Phi[Sigma[n]+phi(n)]=A077080 is iterated with initial value of n.
2

%I #6 Oct 15 2013 22:31:37

%S 1,1,2,2,3,1,2,16,16,1,2,16,17,17,16,15,16,15,16,1,2,1,2,14,14,16,15,

%T 14,15,14,15,13,14,15,15,10,11,15,14,13,14,11,12,2,14,1,2,1,12,6,2,12,

%U 13,3,2,2,3,1,2,11,12,11,2,11,14,10,11,13,2,2,3,5,6,14,10,10,2,12,13,9

%N Length of iteration until fixed point is reached when Phi[Sigma[n]+phi(n)]=A077080 is iterated with initial value of n.

%F a(n)=Length[FixedPointList[A077080, n]]-1.

%e n=1,2,6,10,..864: a[n]=1, n is fixed point for some n; n=225: results in iteration sequence of 44 terms: {225,522,444,...,471744,653312,570240}, 44=a[225].

%t f[x_] := EulerPhi[DivisorSigma[1, x]+EulerPhi[x]] Table[Length[FixedPointList[f, w]]-1, {w, 1, 1024}]

%Y Cf. A000010, A000203, A065387, A077080-A077085.

%K nonn

%O 1,3

%A _Labos Elemer_, Oct 28 2002