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A001387
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Decimal encoding of a binary "look and say" sequence (A005150). To get the 5th term, for example, note that 4th term has three (11 in binary!) 1's, one (1) 0 and two (10) 1's, giving 11 1 1 0 10 1.
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1, 11, 101, 111011, 11110101, 100110111011, 111001011011110101, 111100111010110100110111011, 100110011110111010110111001011011110101, 1110010110010011011110111010110111100111010110100110111011
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| I conjecture that the ratio r(n) of the number of "1"s to the number of "0"s in a(n) converges to 5/3 (or some nearby limit). - Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jan 31 2003
The ratio r(n) of the number of "1"s to the number of "0"s in a(n) actually converges to [(101 - 5\sqrt{93})a^2 + (139 - 13\sqrt{93})a - 76]/108, where a = (116 + 12\sqrt{93})^{1/3}. This ratio has decimal expansion 1.6657272222676... [From Nathaniel Johnston (nathaniel(AT)nathanieljohnston.com), Nov 07 2010]
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LINKS
| T. Sillke, The binary form of Conway's sequence
N. Johnston, The Binary "Look-and-Say" Sequence [From Nathaniel Johnston (nathaniel(AT)nathanieljohnston.com), Nov 07 2010]
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CROSSREFS
| Cf. A005150, A049194.
Sequence in context: A103992 A185949 A201074 * A180280 A100580 A087744
Adjacent sequences: A001384 A001385 A001386 * A001388 A001389 A001390
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KEYWORD
| nonn,base
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AUTHOR
| tly1(AT)color.ithaca.ny.us (Thomas L. York)
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