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A217183
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a(n) is the number of digits in the decimal representation of the smallest power of n that contains eight consecutive identical digits.
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1
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2576, 3684, 2576, 1951, 6640, 5220, 4012, 3684, 9, 3107, 2623, 6107, 1207, 5916, 4217, 7114, 4999, 6018, 11, 3396, 6511, 3732, 6279, 1951, 990, 4237, 3877, 4676, 12, 6051, 4078, 4731, 5263, 1838, 10317, 1086, 5173, 9186, 13, 11285, 5740, 9697, 1064, 5297
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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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MATHEMATICA
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Table[k = 1; While[d = IntegerDigits[n^k]; ! MemberQ[Partition[Differences[d], 7, 1], {0, 0, 0, 0, 0, 0, 0}], k++]; Length[d], {n, 2, 10}] (* T. D. Noe, Oct 03 2012 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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