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 A217177 a(n) is the number of digits in the decimal representation of the smallest power of n that contains two consecutive identical digits. 1
 5, 6, 5, 8, 4, 6, 6, 6, 3, 2, 3, 11, 4, 3, 5, 9, 7, 7, 3, 3, 2, 9, 6, 9, 8, 6, 12, 8, 3, 9, 8, 2, 4, 4, 5, 11, 4, 7, 4, 9, 5, 7, 2, 5, 4, 4, 6, 6, 4, 12, 7, 6, 11, 2, 7, 8, 4, 8, 4, 6, 4, 6, 6, 4, 2, 4, 6, 8, 4, 6, 14, 12, 6, 12, 4, 2, 6, 8, 4, 6, 6, 4, 10, 4, 8, 12, 2 (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[Differences[d], 0], k++]; Length[d], {n, 2, 100}] (* T. D. Noe, Oct 03 2012 *) CROSSREFS Cf. A217157, A217167. Sequence in context: A223171 A188942 A011258 * A157339 A029944 A197494 Adjacent sequences:  A217174 A217175 A217176 * A217178 A217179 A217180 KEYWORD nonn,base AUTHOR V. Raman, Sep 27 2012 STATUS approved

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Last modified December 14 01:33 EST 2019. Contains 329978 sequences. (Running on oeis4.)