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A006788
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Floor( 2^(n-1)/n ).
(Formerly M0712)
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3
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1, 1, 1, 2, 3, 5, 9, 16, 28, 51, 93, 170, 315, 585, 1092, 2048, 3855, 7281, 13797, 26214, 49932, 95325, 182361, 349525, 671088, 1290555, 2485513, 4793490, 9256395, 17895697, 34636833, 67108864, 130150524, 252645135, 490853405, 954437176, 1857283155, 3616814565
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| This is the number of nested polygons needed to produce a graph that is always concave, see the MathWorld article. - Jon Perry (perry(AT)globalnet.co.uk), Sep 15 2002
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REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..1000
MathWorld, Happy End Problem
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MATHEMATICA
| Table[Quotient[2^n, 2*n], {n, 1, 60}] (* From Vladimir Joseph Stephan Orlovsky, May 07 2011 *)
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PROG
| (MAGMA) [Floor( 2^(n-1)/n) : n in [1..40]]; // Vincenzo Librandi, Sep 24 2011
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CROSSREFS
| Cf. A054650, A000048.
Sequence in context: A056303 A000048 A074099 * A054650 A022857 A000691
Adjacent sequences: A006785 A006786 A006787 * A006789 A006790 A006791
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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