|
Search: id:A062057
|
|
|
| A062057 |
|
Numbers with 7 odd integers in their Collatz (or 3x+1) trajectory. |
|
+0
1
|
|
| 9, 18, 19, 36, 37, 38, 72, 74, 76, 77, 81, 144, 148, 149, 152, 154, 162, 163, 288, 296, 298, 304, 308, 309, 321, 324, 325, 326, 331, 576, 592, 596, 597, 608, 616, 618, 625, 642, 643, 648, 650, 652, 653, 662, 663, 713, 715, 1152, 1184, 1192, 1194, 1216, 1232, 1236, 1237
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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.
|
|
REFERENCES
|
J. Shallit and D. Wilson, The "3x+1" Problem and Finite Automata, Bulletin of the EATCS #46 (1992) pp. 182-185.
|
|
LINKS
|
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.
|
|
CROSSREFS
|
Cf. A062052-A062060.
Sequence in context: A060993 A107977 A092457 this_sequence A015785 A046412 A109661
Adjacent sequences: A062054 A062055 A062056 this_sequence A062058 A062059 A062060
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
David W. Wilson (davidwwilson(AT)comcast.net)
|
|
EXTENSIONS
|
The Collatz trajectory of 9 is (9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1), which contains 7 odd integers.
|
|
|
Search completed in 0.002 seconds
|
