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 A097034 Initial values for iteration of the function f(x) = A063919(x) such that the iteration ends in a 14-cycle, i.e., in A097030. 5
 1506, 1518, 1806, 1902, 1914, 1938, 1950, 2226, 2382, 2394, 2406, 2418, 2478, 2826, 2910, 2946, 2958, 3234, 3282, 3294, 3330, 3510, 3522, 3534, 3546, 3582, 3642, 3654, 3774, 3906, 3954, 3966, 3978, 4146, 4158, 4194, 4434, 4446, 4854, 4866, 4878, 5262 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..42. EXAMPLE n=1506 is here because its iteration list = {1506, 1518, 1938, 2382, 2394, 2406, [2418, ...., 3582, 2418}. After a transient of length 6, the iteration ends in a cycle of length 14. MATHEMATICA a063919[1] = 1; (* function a[] in A063919 by Jean-François Alcover *) a063919[n_] := Total[Select[Divisors[n], GCD[#, n/#] == 1 &]] - n /; n > 1 a097034Q[k_] := Module[{iter = NestWhileList[a063919, k, UnsameQ, All]}, Apply[Subtract, Reverse[Flatten[Position[iter, Last[iter]], 1]]] == 14] a097034[n_] := Select[Range[n], a097034Q] a097034[5262] (* Hartmut F. W. Hoft, Jan 25 2024 *) CROSSREFS Cf. A002827, A063919, A063991, A097024, A097030-A097037. Sequence in context: A181599 A181706 A092725 * A059464 A096021 A190032 Adjacent sequences: A097031 A097032 A097033 * A097035 A097036 A097037 KEYWORD nonn AUTHOR Labos Elemer, Aug 30 2004 STATUS approved

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Last modified May 20 19:00 EDT 2024. Contains 372720 sequences. (Running on oeis4.)