A070789 Integers n such that the 'Reverse and Add!' trajectory of n joins the trajectory of 1.
1, 2, 4, 8, 16, 25, 34, 43, 52, 59, 61, 68, 70, 77, 86, 95, 104, 109, 151, 154, 155, 157, 203, 208, 209, 250, 253, 254, 256, 302, 307, 308, 352, 353, 355, 401, 406, 407, 409, 451, 452, 454, 500, 505, 506, 508, 550, 551, 553, 604, 605, 607, 650, 652, 703, 704
Offset: 1
Examples
The trajectory of 2 is part of the trajectory of 1; the trajectory of 401 joins the trajectory of 1 at 1111 after 3 steps.
Programs
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Mathematica
limit = 10^3; x = NestList[ # + IntegerReverse[#] &, 1, limit]; Select[Range[704], Intersection[NestList[ # + IntegerReverse[#] &, #, limit], x] != {} &] (* Robert Price, Oct 20 2019 *)