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A057717
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The non-powers of 10.
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1
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0, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70
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OFFSET
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0,2
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COMMENTS
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a(n) is the length signature of a string plus its length.
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LINKS
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FORMULA
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a(n) = ceiling(log_10(a(n) + 1)) + n.
Find k such that 10^k - (k + 1) <= n < 10^(k+1) - (k + 2), then a(n) = n + k + 1.
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MATHEMATICA
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With[{upto=100}, Complement[Range[0, upto], 10^Range[0, Floor[Log10[ upto]]]]] (* Harvey P. Dale, Nov 01 2016 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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John Lindgren (john.lindgren(AT)Eng.Sun.COM), Oct 24 2000
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EXTENSIONS
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Better description from Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 29 2001
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STATUS
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approved
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