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 A217190 a(n) is the number of digits in the decimal representation of the smallest power of 11 that contains n consecutive identical digits. 0
 1, 2, 9, 41, 163, 502, 1378, 3107, 9834, 41530, 223636, 308352, 308352 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Number of digits in 11^k is equal to floor(1 + k*log_10(11)). LINKS MATHEMATICA k = 0; Join[{1}, Table[While[d = IntegerDigits[11^k]; prt = Partition[Differences[d], n - 1, 1]; ! MemberQ[prt, Table[0, {n - 1}]], k++]; Length[d], {n, 2, 8}]] (* T. D. Noe, Oct 03 2012 *) CROSSREFS Cf. A215731, A215737. Sequence in context: A052322 A130767 A273461 * A020698 A128752 A074611 Adjacent sequences:  A217187 A217188 A217189 * A217191 A217192 A217193 KEYWORD nonn,base AUTHOR V. Raman, Sep 27 2012 EXTENSIONS a(10)-a(13) added by V. Raman, Apr 30 2012, in correspondence with A215731. STATUS approved

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Last modified April 18 14:42 EDT 2019. Contains 322209 sequences. (Running on oeis4.)