A292859 Numbers n such that 10 applications of 'Reverse and Subtract' lead to n, whereas fewer than 10 applications do not lead to n.

101451293600894707746789, 105292253210898548706399, 245973964471725640521348, 274359478651754026035528, 551171141805402848917944, 597151082055448828858194

Offset

1,1

Comments

There are 10 twenty-four-digit terms in the sequence. Terms of derived sequences can be obtained either by inserting at the center of their digits any number of 9's or by concatenating a term any number of times with itself and inserting an equal number of 0's at all junctures.

Links

Ray Chandler, Table of n, a(n) for n = 1..10

J. H. E. Cohn, Palindromic differences, Fibonacci Quart. 28 (1990), no. 2, 113-120.

Formula

n = f^10(n), n <> f^k(n) for k < 10, where f: x -> |x - reverse(x)|.

Example

105292253210898548706399 -> 888315592687113803586102 -> 686630284375327508072214 -> 274359478651754026035528 -> 551171141805402848917944 -> 101451293600894707746789 -> 886196413897111684407312 -> 672491927785313369715624 -> 245973964471725640521348 -> 597151082055448828858194 -> 105292253210898548706399

Crossrefs

Cf. A072142, A072143, A072718, A072719, A215669, A292634, A292635, A292846, A292856, A292857, A292858.

Sequence in context: A316155 A216854 A008916 * A105299 A340397 A094232

Adjacent sequences: A292856 A292857 A292858 * A292860 A292861 A292862

Keyword

nonn,base

Author

Meritxell Vila Miñana, Sep 25 2017

Extensions

Terms ordered by Ray Chandler, Sep 27 2017

Status

approved