

A092210


Positive integers n such that the trajectory of n under the Reverse and Add! operation carried out in base 2 (presumably) does not join the trajectory of any m < n.


3



1, 16, 64, 74, 98, 107, 259, 266, 271, 275, 298, 398, 442, 454, 522, 794, 911, 1027, 1046, 1057, 1066, 1070, 1073, 1076, 1081, 1082, 1085, 1115, 1274, 1422, 1562, 1570, 1967, 2070, 2329, 3106, 3355, 3871, 4099, 4114, 4120, 4126, 4136, 4152, 4182, 4189
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

The conjecture that the base 2 trajectories of the terms do not join is based on the observation that if the trajectories of two integers < 12000 join, this happens after at most 93 steps, while for any two terms listed above the trajectories do not join within 1000 steps. For pairs from 1, 16, 64, 74, 98, 107 this has even been checked for 5000 steps.
Base2 analog of A070788 (base 10) and A091675 (base 4).


LINKS

Table of n, a(n) for n=1..46.
Index entries for sequences related to Reverse and Add!


EXAMPLE

The trajectory of 2 is part of the trajectory of 1 (cf. A035522); the trajectory of 16 does not join the trajectory of 1 within 10000 steps; the trajectory of 64 does not join the trajectory of 1 or of 16 within 10000 steps.


CROSSREFS

Cf. A035522, A075252, A070788, A091675.
Sequence in context: A255660 A303797 A118902 * A320892 A062320 A233330
Adjacent sequences: A092207 A092208 A092209 * A092211 A092212 A092213


KEYWORD

nonn,base


AUTHOR

Klaus Brockhaus, Feb 25 2004


STATUS

approved



