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 A223086 Trajectory of 64 under the map n-> A006368(n). 2
 64, 96, 144, 216, 324, 486, 729, 547, 410, 615, 461, 346, 519, 389, 292, 438, 657, 493, 370, 555, 416, 624, 936, 1404, 2106, 3159, 2369, 1777, 1333, 1000, 1500, 2250, 3375, 2531, 1898, 2847, 2135, 1601, 1201, 901, 676, 1014, 1521, 1141, 856, 1284, 1926, 2889 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS It is conjectured that this trajectory does not close on itself. LINKS T. D. Noe, Table of n, a(n) for n = 1..10000 J. H. Conway, On unsettleable arithmetical problems, Amer. Math. Monthly, 120 (2013), 192-198. MAPLE f:=n-> if n mod 2 = 0 then 3*n/2 elif n mod 4 = 1 then (3*n+1)/4 else (3*n-1)/4; fi; t1:=[64]; for n from 1 to 100 do t1:=[op(t1), f(t1[nops(t1)])]; od: t1; MATHEMATICA t = {64}; While[n = t[[-1]]; s = If[EvenQ[n], 3 n/2, Round[3 n/4]]; Length[t] < 100 && ! MemberQ[t, s], AppendTo[t, s]]; t (* T. D. Noe, Mar 22 2013 *) SubstitutionSystem[{n_ :> If[EvenQ[n], 3n/2, Round[3n/4]]}, {64}, 100] // Flatten (* Jean-François Alcover, Mar 01 2019 *) CROSSREFS Cf. A006369, A006368, A182205. Trajectories under A006368 and A006369: A180853, A217218, A185590, A180864, A028393, A028394, A094328, A094329, A028396, A028395, A217729, A182205, A223083-A223088, A185589, A185590. Sequence in context: A114828 A036330 A046306 * A175163 A111730 A255990 Adjacent sequences: A223083 A223084 A223085 * A223087 A223088 A223089 KEYWORD nonn AUTHOR N. J. A. Sloane, Mar 22 2013 STATUS approved

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Last modified May 30 17:43 EDT 2024. Contains 372971 sequences. (Running on oeis4.)