|
| |
|
|
A185455
|
|
Trajectory of 7 under repeated application of the map in A185452.
|
|
3
|
|
|
|
7, 18, 9, 23, 58, 29, 73, 183, 458, 229, 573, 1433, 3583, 8958, 4479, 11198, 5599, 13998, 6999, 17498, 8749, 21873, 54683, 136708, 68354, 34177, 85443, 213608, 106804, 53402, 26701, 66753, 166883, 417208, 208604, 104302, 52151, 130378, 65189, 162973, 407433, 1018583, 2546458, 1273229, 3183073, 7957683, 19894208, 9947104
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
It is conjectured that this trajectory is unbounded, but this is an open problem.
|
|
|
REFERENCES
|
J. C. Lagarias, ed., The Ultimate Challenge: The 3x+1 Problem, Amer. Math. Soc., 2010; see page 89.
|
|
|
LINKS
|
Table of n, a(n) for n=1..48.
Index entries for sequences related to 3x+1 (or Collatz) problem
|
|
|
MAPLE
|
f:=n->if n mod 2 = 0 then n/2 else (5*n+1)/2; fi;
T:=proc(n, M) global f; local t1, i; t1:=[n];
for i from 1 to M-1 do t1:=[op(t1), f(t1[nops(t1)])]; od: t1; end;
T(7, 120);
|
|
|
CROSSREFS
|
Cf. A185452, A185453, A185454.
Sequence in context: A113613 A070415 A034083 * A103570 A223247 A070609
Adjacent sequences: A185452 A185453 A185454 * A185456 A185457 A185458
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
N. J. A. Sloane, Feb 04 2011
|
|
|
STATUS
|
approved
|
| |
|
|
