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 A217178 a(n) is the number of digits in the decimal representation of the smallest power of n that contains three consecutive identical digits. 1
 8, 16, 8, 35, 4, 27, 8, 16, 4, 9, 19, 28, 17, 28, 8, 15, 8, 12, 4, 15, 10, 21, 20, 35, 16, 16, 15, 8, 5, 11, 13, 16, 16, 28, 15, 24, 4, 20, 5, 23, 7, 12, 20, 30, 20, 14, 29, 29, 6, 26, 18, 13, 20, 44, 42, 15, 20, 18, 6, 25, 20, 33, 8, 13, 17, 24, 13, 23, 6, 21 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS Number of digits in n^k is equal to floor(1 + k*log_10(n)). LINKS V. Raman, Table of n, a(n) for n = 2..10000 MATHEMATICA Table[k = 1; While[d = IntegerDigits[n^k]; !  MemberQ[Partition[Differences[d], 2, 1], {0, 0}], k++]; Length[d], {n, 2, 100}] (* T. D. Noe, Oct 03 2012 *) CROSSREFS Cf. A217158, A217168. Sequence in context: A174256 A037239 A205869 * A103699 A238835 A040056 Adjacent sequences:  A217175 A217176 A217177 * A217179 A217180 A217181 KEYWORD nonn,base AUTHOR V. Raman, Sep 27 2012 STATUS approved

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Last modified January 18 16:40 EST 2019. Contains 319271 sequences. (Running on oeis4.)