|
Search: id:A091675
|
|
|
| A091675 |
|
Positive integers n such that the trajectory of n under the Reverse and Add! operation carried out in base 4 (presumably) does not join the trajectory of any m < n. |
|
+0
6
|
|
| 1, 3, 21, 22, 26, 29, 31, 55, 256, 258, 262, 266, 269, 271, 282, 286, 287, 302, 312, 413, 479, 511, 519, 551, 555, 719, 795, 799, 1026, 1029, 1034, 1037, 1066, 1549, 1790, 2863, 3087, 3119, 4096, 4098, 4102, 4104, 4106, 4108, 4109, 4113, 4114, 4116, 4117
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
The conjecture that the base 4 trajectories of the terms do not join is based on the observation that if the trajectories of two integers below 4120 join, this happens after at most 28 steps, while for any two terms listed above the trajectories do not join within 1000 steps. For pairs from 1, 3, 21, 22, 26, 29, 31, 55 this has even been checked for 5000 steps.
Base 4 analogue of A070788.
|
|
LINKS
|
Klaus Brockhaus, Illustration: Distribution of terms below 2000000
Index entries for sequences related to Reverse and Add!
|
|
EXAMPLE
|
The trajectory of 2 is part of the trajectory of 1 (cf. A035524); the trajectory of 3 does not join the trajectory of 1 within 10000 steps; the trajectory of 21 does not join the trajectory of 1 or of 3 within 10000 steps.
|
|
CROSSREFS
|
Cf. A035524, A075421, A070788.
Sequence in context: A089999 A124397 A043081 this_sequence A067233 A007648 A050586
Adjacent sequences: A091672 A091673 A091674 this_sequence A091676 A091677 A091678
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jan 28 2004
|
|
|
Search completed in 0.002 seconds
|
