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

1,1

Comments

Subsequence of A023108.

References

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

Links

Table of n, a(n) for n=1..44.

Index entries for sequences related to Reverse and Add!

Example

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.

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 *)

Crossrefs

Cf. A033865, A023108, A006960, A063050.

Sequence in context: A222798 A128965 A289345 * A131274 A074868 A277338

Adjacent sequences: A063046 A063047 A063048 * A063050 A063051 A063052

Keyword

base,nonn

Author

Klaus Brockhaus, Jul 07 2001

Extensions

Offset corrected by Sean A. Irvine, Apr 17 2023

Status

approved