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A061508
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Smallest positive m such that n^m has at least n digits.
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0
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1, 4, 5, 5, 6, 7, 8, 8, 9, 9, 10, 11, 11, 12, 12, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 32, 33, 33, 34, 34, 35, 35, 35, 36, 36, 37, 37, 37
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OFFSET
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1,2
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LINKS
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FORMULA
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EXAMPLE
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a(15) = 12, as 15^12 = 129746337890625 has 15 digits, while 15^11 = 8649755859375 has only 13 digits.
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MAPLE
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f := []: for i from 1 to 50 do for j from 1 do if length(i^j) >= i then f := [op(f), j]; break fi; od; od; op(f);
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MATHEMATICA
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Join[{1}, Table[Ceiling[(n-1)/Log[10, n]], {n, 2, 70}]] (* Harvey P. Dale, Apr 14 2016 *)
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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