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Search: id:A064025
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| A064025 |
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Length of period of continued fraction for square root of n!. |
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+0
3
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| 1, 2, 2, 2, 4, 2, 16, 48, 8, 4, 56, 180, 44, 156, 300, 7936, 10388, 11516, 9104, 13469268, 2684084, 2418800, 28468692
(list; graph; listen)
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OFFSET
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2,2
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EXAMPLE
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Quotients for 10! are [[1904], [1, 15, 1, 13, 1, 15, 1, 3808]], so period length of 10! is 8.
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MAPLE
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with(numtheory): [seq(nops(cfrac(sqrt(k!), 'periodic', 'quotients')[2]), k=2..16)];
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MATHEMATICA
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Do[ Print[ Length[ Last[ ContinuedFraction[ Sqrt[ n! ]]]]], {n, 2, 24} ]
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CROSSREFS
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Adjacent sequences: A064022 A064023 A064024 this_sequence A064026 A064027 A064028
Sequence in context: A035580 A135293 A053204 this_sequence A054709 A121806 A056944
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KEYWORD
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cofr,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Sep 18 2001
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 01 2001
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