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A094690 Continued fraction expansion of (1+(+1+ ... )^(1/e))^(1/e))^(1/e)). +0
2
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 (list; graph; listen)
OFFSET

1,2

COMMENT

Increasing partial quotients are: 1,2,37,66,76,84,145,686,983,2434,5120

MATHEMATICA

f[n_] := N[(n + 1)^(1/E), 1024]; ContinuedFraction[ Nest[f, 1, 2500], 100]

CROSSREFS

Cf. A094689.

Sequence in context: A136156 A155796 A141238 this_sequence A010249 A002431 A062963

Adjacent sequences: A094687 A094688 A094689 this_sequence A094691 A094692 A094693

KEYWORD

cofr,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), May 18 2004

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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