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A292857 Numbers n such that 8 applications of 'Reverse and Subtract' lead to n, whereas fewer than 8 applications do not lead to n. 10
16914079504181797053273763831171860502859028, 16914099886383117186009041817970531210859028, 31253512653248719266062943707325665377464777, 31253591994370732566027032487192660079464777 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
There are 8 forty-four-digit terms in the sequence. Further terms are obtained (a) by inserting at the center of these terms either any number of 0's (for 16914079504181797053273763831171860502859028, 46492964703403651468863122584458570244070436, 65181741002635316783463471248546280094182933) or any number of 9's (for the other five terms) and (b) by concatenating a term any number of times with itself and inserting an equal number of 0's at all junctures. Method (b) may be applied recursively to all terms. - Clarified by Ray Chandler, Oct 14 2017.
LINKS
J. H. E. Cohn, Palindromic differences, Fibonacci Quart. 28 (1990), no. 2, 113-120.
FORMULA
n = f^8(n), n <> f^k(n) for k < 8, where f: x -> |x - reverse(x)|.
EXAMPLE
16914079504181797053273763831171860502859028 -> 65181741002635316783463471248546280094182933 -> 31253591994370732566027032487192660079464777 -> 46492905012258445857045034036514689840070436 -> 16914099886383117186009041817970531210859028 -> 65181701327124854628081026353167837688182933 -> 31253512653248719266062943707325665377464777 -> 46492964703403651468863122584458570244070436 -> 16914079504181797053273763831171860502859028
CROSSREFS
Sequence in context: A095478 A291353 A095480 * A121977 A095482 A160678
KEYWORD
nonn,base
AUTHOR
EXTENSIONS
Terms ordered by Ray Chandler, Sep 27 2017
STATUS
approved

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Last modified March 29 08:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)