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 A221473 Irregular table of odd numbers whose n-th row has numbers taking n iterations of the Collatz (3x+1) function to reach 1. 2
 1, 5, 3, 21, 13, 85, 53, 341, 17, 113, 35, 213, 227, 1365, 11, 69, 75, 453, 23, 141, 151, 853, 909, 5461, 7, 45, 277, 301, 1813, 15, 93, 565, 605, 3413, 3637, 21845, 29, 181, 201, 1109, 1137, 1205, 7253, 7281, 9, 61, 369, 373, 401, 403, 2261, 2275, 2417 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Sequence A176866 gives the length of each row. Sequences A176867 and A176868 give the minimum and maximum number in each row. Observe how each row has clumps of numbers -- a feature evident in the graph. Sequence A221474 counts these clumps. LINKS T. D. Noe, Rows n = 0..40 of triangle, flattened EXAMPLE Rows 0 to 18 are {1} {} {} {} {} {5} {} {3, 21} {} {13, 85} {} {53, 341} {17, 113} {35, 213, 227, 1365} {11, 69, 75, 453} {23, 141, 151, 853, 909, 5461} {7, 45, 277, 301, 1813} {15, 93, 565, 605, 3413, 3637, 21845} {29, 181, 201, 1109, 1137, 1205, 7253, 7281} ... Note that row 18 has 4 clumps: 29, 181-201, 1109-1205, and 7253-7281. MATHEMATICA nn = 21; s = {1}; t = Join[s, Table[s = Union[2 s, (Select[s, Mod[#, 3] == 1 && OddQ[(# - 1)/3] && (# - 1)/3 > 1 &] - 1)/3]; s, {n, nn}]]; Select[Flatten[t], OddQ] CROSSREFS Cf. A176866, A176867, A176868. Cf. A127824 (table of even and odd numbers taking n iterations). Cf. A221474 (number of clumps). Sequence in context: A199637 A199636 A324038 * A199638 A296356 A154825 Adjacent sequences:  A221470 A221471 A221472 * A221474 A221475 A221476 KEYWORD nonn,tabf,look AUTHOR T. D. Noe, Feb 13 2013 STATUS approved

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Last modified July 26 20:34 EDT 2021. Contains 346295 sequences. (Running on oeis4.)