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A010097
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Prefix (or Levenshtein) codes for natural numbers.
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2
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0, 2, 12, 13, 112, 113, 114, 115, 232, 233, 234, 235, 236, 237, 238, 239, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 7712, 7713, 7714, 7715
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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REFERENCES
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D. E. Knuth, "Supernatural Numbers", in D. A. Klarner, editor, The Mathematical Gardner. Prindle, Weber and Schmidt, Boston, 1981, pp. 310-325.
D. E. Knuth, Selected Papers on Fun and Games, CSLI, 2011.
R. E. Krichevsky, Szhatie i poisk informatsii (Compressing and searching for information), Moscow, 1988, ISBN 5-256-00325-9.
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LINKS
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FORMULA
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The code for n is found as follows: from right to left, the truncated (without the leading 1) binary representations of n, floor(log_2(n)), floor(log_2(floor(log_2(n)))), etc., are written as long as they consist of at least one bit; then we write a 0 followed by log*(n) 1's.
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CROSSREFS
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KEYWORD
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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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