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Search: id:A062053
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| A062053 |
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Numbers with 3 odd integers in their Collatz (or 3x+1) trajectory. |
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+0
2
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| 3, 6, 12, 13, 24, 26, 48, 52, 53, 96, 104, 106, 113, 192, 208, 212, 213, 226, 227, 384, 416, 424, 426, 452, 453, 454, 768, 832, 848, 852, 853, 904, 906, 908, 909, 1536, 1664, 1696, 1704, 1706, 1808, 1812, 1813, 1816, 1818, 3072, 3328, 3392, 3408, 3412, 3413, 3616
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OFFSET
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1,1
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COMMENT
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The Collatz (or 3x+1) function is f(x) = x/2 if x is even, 3x+1 if x is odd.
The Collatz trajectory of n is obtained by applying f repeatedly to n until 1 is reached.
Sequence is 2-automatic.
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REFERENCES
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J. Shallit and D. Wilson, The "3x+1" Problem and Finite Automata, Bulletin of the EATCS #46 (1992) pp. 182-185.
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LINKS
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Index entries for sequences related to 3x+1 (or Collatz) problem
J. Shallit and D. Wilson, The "3x+1" Problem and Finite Automata, Bulletin of the EATCS #46 (1992) pp. 182-185.
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CROSSREFS
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Cf. A062052-A062060.
Sequence in context: A078502 A107974 A116625 this_sequence A102040 A077152 A067759
Adjacent sequences: A062050 A062051 A062052 this_sequence A062054 A062055 A062056
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KEYWORD
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nonn
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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EXTENSIONS
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The Collatz trajectory of 3 is (3,10,5,16,8,4,2,1), which contains 3 odd integers.
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