A063049 Integers n > 196 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 196.

295, 394, 493, 592, 689, 691, 788, 790, 887, 986, 1495, 1585, 1675, 1765, 1855, 1945, 2494, 2584, 2674, 2764, 2854, 2944, 3493, 3583, 3673, 3763, 3853, 3943, 4079, 4169, 4259, 4349, 4439, 4492, 4529, 4582, 4619, 4672, 4709, 4762, 4799, 4852, 4889, 4942

Offset: 1

Author

Klaus Brockhaus, Jul 07 2001

Keywords

• base
• nonn

Comments

Subsequence of A023108.

Examples

			The trajectory of 394 reaches 887 in one step and 887 is a term in the trajectory of 196, so 394 belongs to the present sequence. The corresponding term in A063050, giving the number of steps, accordingly is 1.
		

References

• Popular Computing (Calabasas, CA), The 196 Problem, Vol. 3 (No. 30, Sep 1975), page PC30-9. Gives initial terms of this sequence.

Links

• Index entries for sequences related to Reverse and Add!

Crossrefs

Cf. A033865, A023108, A006960, A063050.

Programs

Mathematica

Block[{nn = 10^2, s}, s = NestList[# + IntegerReverse@ # &, 196, nn]; Rest@ Select[Range@ 5000, Length@NestWhileList[# + IntegerReverse@ # &, #, FreeQ[s, #] &, 1, nn] <= nn &]] (* Michael De Vlieger, Jan 21 2018 *)

Extensions

Offset corrected by Sean A. Irvine, Apr 17 2023