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 A248018 Least number k > 0 such that n^k contains n*R_n in its decimal representation, or 0 if no such k exists. 0
 1, 43, 119, 96, 186, 1740, 6177, 8421, 104191, 0, 946417 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS R_n is the repunit of length n, i.e., R_n = (10^n-1)/9, A002275. a(10^n) = 0 for all n > 0. - Derek Orr, Sep 29 2014 a(9) > 86000. - Derek Orr, Sep 29 2014 Note that a(2) = A030000(22), and a(3) = A063566(333), and that sequence is also related in a similar way to sequences from A063567 up to A063572. - Michel Marcus, Sep 30 2014 LINKS EXAMPLE a(2) = 43 because 2^43 = 8796093022208 has the string '22' in it and 43 is the smallest power of 2 that produces such a result. a(3) = 119 because 3^119 = 599003433304810403471059943169868346577158542512617035467 contains the string '333', and 119 is the smallest power of 3 that gives us such a result. PROG (Python) def a(n): ..s = str(n) ..p = len(s) ..if s.count('1') == 1 and s.count('0') == p - 1: ....return 0 ..k = 1 ..while not str(n**k).count(n*s): ....k += 1 ..return k n = 1 while n < 10: ..print(a(n), end=', ') ..n += 1 # Derek Orr, Sep 29 2014 CROSSREFS Cf. A002275. Sequence in context: A297412 A282294 A251075 * A262491 A029816 A044294 Adjacent sequences:  A248015 A248016 A248017 * A248019 A248020 A248021 KEYWORD base,nonn,hard,more AUTHOR Talha Ali, Sep 29 2014 EXTENSIONS a(3) and a(5) corrected, a(6)-a(8) added by Derek Orr, Sep 29 2014 a(4) corrected and a(9)-a(11) added by Hiroaki Yamanouchi, Oct 01 2014 STATUS approved

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Last modified September 24 18:11 EDT 2022. Contains 356949 sequences. (Running on oeis4.)