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A217182
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a(n) is the number of digits in the decimal representation of the smallest power of n that contains seven consecutive identical digits.
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1
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293, 1014, 293, 1948, 1170, 1658, 293, 1014, 8, 1378, 2092, 571, 1207, 3058, 293, 3045, 1866, 1203, 10, 1435, 1434, 325, 4014, 1948, 990, 1014, 1019, 2291, 11, 427, 2576, 1420, 3408, 1838, 2112, 1086, 1868, 713, 12, 1428, 2190, 1332, 1064, 2770, 1881, 917, 560
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OFFSET
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2,1
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COMMENTS
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Number of digits in n^k is equal to floor(1 + k*log_10(n)).
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LINKS
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V. Raman, Table of n, a(n) for n = 2..1000
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MATHEMATICA
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Table[k = 1; While[d = IntegerDigits[n^k]; ! MemberQ[Partition[Differences[d], 6, 1], {0, 0, 0, 0, 0, 0}], k++]; Length[d], {n, 2, 100}] (* T. D. Noe, Oct 03 2012 *)
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CROSSREFS
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Cf. A217162, A217172.
Sequence in context: A142847 A142558 A251674 * A109562 A023305 A109182
Adjacent sequences: A217179 A217180 A217181 * A217183 A217184 A217185
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KEYWORD
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nonn,base
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AUTHOR
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V. Raman, Sep 27 2012
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STATUS
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approved
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