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Search: id:A011754
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| A011754 |
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Number of ones in binary expansion of 3^n. |
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+0
5
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| 1, 2, 2, 4, 3, 6, 6, 5, 6, 8, 9, 13, 10, 11, 14, 15, 11, 14, 14, 17, 17, 20, 19, 22, 16, 18, 24, 30, 25, 25, 25, 26, 26, 34, 29, 32, 27, 34, 36, 32, 28, 39, 38, 39, 34, 34, 45, 38, 41, 33, 41, 46, 42, 35, 39, 42, 39, 40, 42, 48, 56, 56, 49, 57, 56, 51, 45, 47, 55, 55, 64, 68, 58
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Conjecture: a(n)/n tends to log(3)/(2*log(2)) = 0.792481250... - Ed Pegg Jr. (ed(AT)mathpuzzle.com), Dec 05 2002
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REFERENCES
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S. Wolfram, "A new kind of science", p. 903.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
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FORMULA
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a(n)=A000120(3^n). - Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 06 2002
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MATHEMATICA
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Table[DigitCount[3^n, 2][[1]], {n, 0, 100}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 03 2006
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CROSSREFS
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Sequence in context: A062968 A053197 A088145 this_sequence A090105 A082146 A037145
Adjacent sequences: A011751 A011752 A011753 this_sequence A011755 A011756 A011757
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KEYWORD
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nonn,nice,easy
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AUTHOR
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Allan Wechsler (acw(AT)alum.mit.edu)
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 03 2006
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