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 A338196 The integers sorted according to the maximum number in their Collatz (3*x+1) orbit, and in the case of a tie, sorted according to their value. 1
 1, 2, 4, 8, 3, 5, 6, 10, 12, 16, 20, 24, 32, 13, 26, 40, 48, 7, 9, 11, 14, 17, 18, 22, 28, 34, 36, 44, 52, 56, 21, 42, 64, 68, 72, 80, 84, 19, 25, 29, 38, 50, 58, 76, 88, 96, 33, 66, 100, 104, 37, 74, 112, 116, 128, 132, 45, 90, 136, 144, 49, 98, 148, 152, 15 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Assuming the validity of the Collatz conjecture, this sequence is a permutation of the natural numbers. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Rémy Sigrist, PARI program for A338196 EXAMPLE a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8 are already the maximum in their orbit. a(5) = 3, a(6) = 5, a(7) = 6, a(8) = 10, a(9) = 12, and a(10) = 16 all have an orbit with 16 as maximum and are therefore sorted by their size. PROG (PARI) See Links section. CROSSREFS Cf. A006370, A006577, A025586, A087255. Sequence in context: A285334 A086317 A110217 * A243062 A341993 A232645 Adjacent sequences:  A338193 A338194 A338195 * A338197 A338198 A338199 KEYWORD nonn AUTHOR Hugo Pfoertner, Oct 21 2020 STATUS approved

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Last modified June 15 15:16 EDT 2021. Contains 345049 sequences. (Running on oeis4.)