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A006788 Floor( 2^(n-1)/n ).
(Formerly M0712)
+0
3
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; listen)
OFFSET

1,4

COMMENT

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

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

MathWorld, Happy End Problem

CROSSREFS

Cf. A054650, A000048.

Sequence in context: A056303 A000048 A074099 this_sequence A054650 A022857 A000691

Adjacent sequences: A006785 A006786 A006787 this_sequence A006789 A006790 A006791

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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