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Search: id:A123170
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| A123170 |
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Continued fraction for (sqrt(2)+1/sqrt(2))*tanh(1/sqrt(2)). |
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+0
1
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| 1, 3, 2, 3, 21, 6, 33, 8, 1, 2, 4, 1, 2, 11, 57, 14, 69, 16, 1, 2, 8, 1, 2, 19, 93, 22, 105, 24, 1, 2, 12, 1, 2, 27, 129, 30, 141, 32, 1, 2, 16, 1, 2, 35, 165, 38, 177, 40, 1, 2, 20, 1, 2, 43, 201, 46, 213, 48, 1, 2, 24, 1, 2, 51, 237, 54, 249, 56, 1, 2, 28, 1, 2, 59, 273, 62, 285, 64
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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J. Borwein and D. Bailey, Mathematics by Experiment, Plausible Reasoning in the 21st Century, A. K. Peters, p. 77
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FORMULA
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For n>1 a(10n-9)=4n-4, a(10n-8)=1, a(10n-7)=2, a(10n-4)=8n-5, a(10n-5)=36n-15, a(10n-4)=8n-2, a(10n-3)=36n-3, a(10n-2)=8n, a(10n-1)=1, a(10n)=2
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MATHEMATICA
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ContinuedFraction[3Tanh[1/Sqrt[2]]/Sqrt[2], 78] - Benoit Cloitre (abmt(AT)orange.fr), Oct 02 2006
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CROSSREFS
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Sequence in context: A059366 A092950 A059239 this_sequence A091806 A139170 A139075
Adjacent sequences: A123167 A123168 A123169 this_sequence A123171 A123172 A123173
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KEYWORD
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nonn,cofr
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AUTHOR
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Benoit Cloitre (abmt(AT)orange.fr), Oct 02 2006
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