A070797 Integers n such that the 'Reverse and Add!' trajectory of n joins the trajectory of 108.

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

Author

Klaus Brockhaus, May 07 2002

Keywords

• base
• nonn

Comments

It appears that the first differences of this sequence are always a multiple of 9. - Robert Price, Oct 20 2019

Examples

			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.
		

Links

• Index entries for sequences related to Reverse and Add!

Crossrefs

Cf. A070788 - A070796, A070798, A063049.

Programs

Mathematica

limit = 10^3; x = NestList[ # + IntegerReverse[#] &, 108, limit];
Select[Range[909],
Intersection[NestList[ # + IntegerReverse[#] &, #, limit],
x] != {} &] (* Robert Price, Oct 20 2019 *)