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A292859 Numbers n such that 10 applications of 'Reverse and Subtract' lead to n, whereas fewer than 10 applications do not lead to n. 10
101451293600894707746789, 105292253210898548706399, 245973964471725640521348, 274359478651754026035528, 551171141805402848917944, 597151082055448828858194 (list; graph; refs; listen; history; text; internal format)
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 A094232 A234594

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

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Last modified February 23 05:29 EST 2020. Contains 332159 sequences. (Running on oeis4.)