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A096996 a(n) is the smallest initial value if function f(x)=sigma(phi(x))=A062402(x) is iterated and the iteration ends in a cycle of length n.

%I A096996 #20 Mar 30 2024 05:03:27
%S A096996 1,5,17,401
%N A096996 a(n) is the smallest initial value if function f(x)=sigma(phi(x))=A062402(x) is iterated and the iteration ends in a cycle of length n.
%C A096996 a(5) exists and <= 2^80.
%C A096996 a(6) = 883, a(11) = 88897, a(15) = 470137, a(18) = 448181;
%C A096996 a(9) = 24877841, a(12) = 16295171, a(21) <= 726569551. 254808457 does not reach a cycle after 14000 iterations. - _Hiroaki Yamanouchi_, Sep 06 2014
%C A096996 a(5) <= 9248288975491. - _Hiroaki Yamanouchi_, Sep 10 2014
%C A096996 a(5) > 8.5*10^7. - _Tyler Busby_, Mar 29 2024
%e A096996 a(4) = 401. 401 -> 961 -> 2304 -> 2044 -> 2520 -> 1651 -> 4800 -> 3066 -> 2520 (cycle length = 4). - _Hiroaki Yamanouchi_, Sep 06 2014
%Y A096996 Cf. A062402, A095956.
%K A096996 nonn,hard,more
%O A096996 1,2
%A A096996 _Labos Elemer_, Jul 19 2004