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 A306943 Trajectory of 5 under repeated application of x -> A306938(x). 5
 5, 8, 13, 22, 38, 65, 112, 193, 334, 578, 1001, 1733, 3001, 5197, 9001, 15590, 27002, 46768, 81004, 140303, 243011, 420907, 729032, 1262720, 2187095, 3788159, 6561283, 11364475, 19683848, 34093424, 59051542, 102280271, 177154625, 306840811, 531463874 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Te Riele has shown this sequence increases for ever. LINKS Amiram Eldar, Table of n, a(n) for n = 0..4190 H. J. J. te Riele, Iteration of number-theoretic functions, Nieuw Archief v. Wiskunde, (4) 1 (1983), 345-360. See Example III.3. MATHEMATICA f[n_] := If[Divisible[n, 3], n/3, Floor[n*Sqrt[3]]]; NestList[f, 5, 50] (* Amiram Eldar, Mar 17 2019 *) CROSSREFS Cf. A306938, A306944. Sequence in context: A314467 A314468 A111321 * A020736 A314469 A217185 Adjacent sequences:  A306940 A306941 A306942 * A306944 A306945 A306946 KEYWORD nonn AUTHOR N. J. A. Sloane, Mar 17 2019 STATUS approved

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Last modified November 30 17:31 EST 2020. Contains 338807 sequences. (Running on oeis4.)