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A070797
Integers n such that the 'Reverse and Add!' trajectory of n joins the trajectory of 108.
2
108, 126, 144, 153, 162, 171, 180, 189, 207, 225, 243, 252, 261, 270, 279, 288, 306, 324, 342, 351, 360, 378, 387, 405, 423, 441, 450, 477, 486, 504, 522, 540, 549, 576, 585, 603, 621, 648, 675, 684, 702, 720, 747, 774, 783, 801, 846, 873, 882, 900, 909
OFFSET
1,1
COMMENTS
It appears that the first differences of this sequence are always a multiple of 9. - Robert Price, Oct 20 2019
EXAMPLE
The trajectory of 909 is part of the trajectory of 108; the trajectory of 126 joins the trajectory of 108 at 4069593 after 12 steps.
MATHEMATICA
limit = 10^3; x = NestList[ # + IntegerReverse[#] &, 108, limit];
Select[Range[909],
Intersection[NestList[ # + IntegerReverse[#] &, #, limit],
x] != {} &] (* Robert Price, Oct 20 2019 *)
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Klaus Brockhaus, May 07 2002
STATUS
approved