A070798 - OEIS

%I #10 Oct 21 2019 02:34:49

%S 111,123,147,210,222,246,321,345,420,444,543,642,741,789,840,888,987,

%T 1002,1005,1596,1686,1776,1866,1956,2001,2004,2595,2685,2775,2865,

%U 2955,3000,3003,3009,3099,3189,3279,3369,3459,3549,3594,3639,3684,3729,3774

%N Integers n such that the 'Reverse and Add!' trajectory of n joins the trajectory of 111.

%C It appears that the first differences of this sequence are always a multiple of 3. - _Robert Price_, Oct 20 2019

%H <a href="/index/Res#RAA">Index entries for sequences related to Reverse and Add!</a>

%e 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.

%t limit = 10^2; x = NestList[ # + IntegerReverse[#] &, 111, limit];

%t Select[Range[3774],

%t  Intersection[NestList[ # + IntegerReverse[#] &, #, limit],

%t x] != {} &] (* _Robert Price_, Oct 20 2019 *)

%Y Cf. A070788 - A070797, A063049.

%K base,nonn

%O 1,1

%A _Klaus Brockhaus_, May 07 2002