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 A010097 Prefix (or Levenshtein) codes for natural numbers. 2
 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)
 OFFSET 0,2 REFERENCES R. E. Krichevsky, Szhatie i poisk informatsii (Compressing and searching for information), Moscow, 1988, ISBN 5-256-00325-9. D. E. Knuth, "Supernatural Numbers", in D. A. Klarner, editor, The Mathematical Gardner. Prindle, Weber and Schmidt, Boston, 1981, pp. 310-325. [Robert Munafo, Mar 19 2010] D. E. Knuth, Selected Papers on Fun and Games, to be published (later in 2010). [Robert Munafo, Mar 19 2010] LINKS Matthew House, Table of n, a(n) for n = 0..10000 R. Munafo, Alternative Number Formats, section on "Lexicographic Strings". [Robert Munafo, Mar 19 2010] Wikipedia, Levenshtein coding FORMULA 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. CROSSREFS Knuth articles also give A000918 and A171885. [Robert Munafo, Mar 19 2010] Sequence in context: A072483 A081539 A141273 * A103761 A286241 A078755 Adjacent sequences:  A010094 A010095 A010096 * A010098 A010099 A010100 KEYWORD nonn AUTHOR EXTENSIONS Offset corrected by Matthew House, Aug 15 2016 STATUS approved

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Last modified June 2 08:16 EDT 2020. Contains 334767 sequences. (Running on oeis4.)