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Search: id:A080406
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| A080406 |
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Boustrophedon transform of the continued fraction of Pi (cf. A001203). |
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+0
4
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| 3, 10, 32, 73, 457, 1994, 6407, 29489, 148253, 852592, 5420543, 37975111, 290066507, 2400720769, 21396506651, 204322668174, 2081209926313, 22523982873141, 258105780607144, 3121989826825492, 39750408190737416
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon on transform, J.Combin. Theory, 17A 44-54 1996 (Abstract, pdf, ps).
N. J. A. Sloane, Transforms
Index entries for sequences related to boustrophedon transform
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FORMULA
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a(n) appears to be asymptotic to C*n!*(2/Pi)^n where C=136.651536367325329682973604897976758877614262731284965133228708820... - Benoit Cloitre (benoit7848c(AT)orange.fr) and Mark Hudson (mrmarkhudson(AT)hotmail.com)
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EXAMPLE
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We simply apply the Boustrophedon transform to [3,7,15,1,292,1,1,1,...]
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CROSSREFS
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Cf. A001203, A000796.
Sequence in context: A034016 A001403 A072136 this_sequence A036682 A104270 A038731
Adjacent sequences: A080403 A080404 A080405 this_sequence A080407 A080408 A080409
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KEYWORD
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nonn,easy
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 17 2003
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