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If f(x) = phi(sigma(x)) is iterated starting from these numbers, then the start-value never returns. These are the transient terms of this iteration. Never occur in terminal cycles.
5

%I #14 Jul 25 2017 02:40:55

%S 3,5,7,9,10,11,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,31,32,33,

%T 34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,

%U 58,59,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83

%N If f(x) = phi(sigma(x)) is iterated starting from these numbers, then the start-value never returns. These are the transient terms of this iteration. Never occur in terminal cycles.

%H Michael De Vlieger, <a href="/A096849/b096849.txt">Table of n, a(n) for n = 1..10000</a>

%e All odd and certain even integers belong here.

%t Flatten@ Table[Function[s, If[Length@ # > 0, First@ #, #] &@ Keys@ KeySelect[s, Length@ Lookup[s, #] == 1 &]]@ PositionIndex@ NestList[EulerPhi@ DivisorSigma[1, #] &, n, 10^2], {n, 71}] (* _Michael De Vlieger_, Jul 24 2017 *)

%Y Cf. A095952, A095953, A095954, A095955, A095956, A096887, A096888, A096889, A096890, A096850.

%K nonn

%O 1,1

%A _Labos Elemer_, Jul 16 2004