login
A070798
Integers n such that the 'Reverse and Add!' trajectory of n joins the trajectory of 111.
10
111, 123, 147, 210, 222, 246, 321, 345, 420, 444, 543, 642, 741, 789, 840, 888, 987, 1002, 1005, 1596, 1686, 1776, 1866, 1956, 2001, 2004, 2595, 2685, 2775, 2865, 2955, 3000, 3003, 3009, 3099, 3189, 3279, 3369, 3459, 3549, 3594, 3639, 3684, 3729, 3774
OFFSET
1,1
COMMENTS
It appears that the first differences of this sequence are always a multiple of 3. - Robert Price, Oct 20 2019
EXAMPLE
The trajectory of 222 is part of the trajectory of 111; the trajectory of 2004 joins the trajectory of 111 at 66066 after 7 steps.
MATHEMATICA
limit = 10^2; x = NestList[ # + IntegerReverse[#] &, 111, limit];
Select[Range[3774],
Intersection[NestList[ # + IntegerReverse[#] &, #, limit],
x] != {} &] (* Robert Price, Oct 20 2019 *)
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Klaus Brockhaus, May 07 2002
STATUS
approved