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A094690
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Continued fraction expansion of (1+(+1+ ... )^(1/e))^(1/e))^(1/e)).
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1
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1, 2, 1, 2, 37, 17, 4, 4, 6, 11, 25, 2, 1, 2, 1, 9, 1, 2, 1, 13, 4, 1, 2, 3, 1, 1, 8, 1, 3, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 3, 1, 7, 2, 1, 3, 1, 1, 9, 2, 1, 1, 5, 6, 5, 1, 2, 10, 1, 1, 1, 5, 1, 1, 2, 8, 1, 6, 1, 1, 2, 2, 1, 3, 1, 1, 1, 4, 30, 1, 4, 66, 1, 2, 76, 4, 6, 1, 1, 9, 3, 1, 1, 1, 28, 1, 11, 1, 2
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OFFSET
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1,2
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COMMENTS
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Increasing partial quotients are: 1,2,37,66,76,84,145,686,983,2434,5120
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LINKS
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Table of n, a(n) for n=1..100.
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MATHEMATICA
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f[n_] := N[(n + 1)^(1/E), 1024]; ContinuedFraction[ Nest[f, 1, 2500], 100]
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CROSSREFS
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Cf. A094689.
Sequence in context: A191657 A155796 A141238 * A010249 A228005 A177438
Adjacent sequences: A094687 A094688 A094689 * A094691 A094692 A094693
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KEYWORD
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cofr,nonn
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AUTHOR
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Robert G. Wilson v, May 18 2004
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STATUS
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approved
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