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 A215727 a(n) is the smallest m for which 3^m contains n consecutive identical digits. 17
 0, 11, 32, 33, 274, 538, 2124, 7720, 22791, 107187, 107187, 639226, 5756979, 8885853, 68353787, 78927180, 78927180 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 3^(a(16)+1) contains exactly 16 consecutive 3's. - Bert Dobbelaere, Mar 20 2019 LINKS EXAMPLE 3^11 = 177147, which has two digits in a row. MATHEMATICA A215727[n_] := Module[{m = 0 , t}, t = Table[i, {i, 0, 9}, {n}]; While[True, If[ContainsAny[Subsequences[IntegerDigits[3^m], {n}], t], Return[m], m++]]; m]; Table[A215727[n], {n, 1, 14}] (* Robert Price, Oct 16 2018 *) PROG (Python) def A215727(n):     l, x = [str(d)*n for d in range(10)], 1     for m in range(10**9):         s = str(x)         for k in l:             if k in s:                 return m         x *= 3     return 'search limit reached' # Chai Wah Wu, Dec 17 2014 CROSSREFS Cf. A215733, A045875. Sequence in context: A060857 A045982 A059134 * A007790 A195857 A048773 Adjacent sequences:  A215724 A215725 A215726 * A215728 A215729 A215730 KEYWORD nonn,base,more AUTHOR V. Raman, Aug 22 2012 EXTENSIONS a(12) from Chai Wah Wu, Dec 17 2014 a(13)-a(14) from Giovanni Resta, Apr 20 2016 a(15) from Bert Dobbelaere, Mar 04 2019 a(16)-a(17) from Bert Dobbelaere, Mar 20 2019 STATUS approved

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Last modified June 2 17:02 EDT 2020. Contains 334787 sequences. (Running on oeis4.)