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A069655 Maximum element in the simple continued fraction expansion for (1+1/n)^n. 0
2, 4, 3, 3, 20, 16, 11, 34, 18, 128, 56, 168, 39, 21, 162, 116, 37, 113, 72, 105, 73, 245, 244, 74, 159, 187, 253, 663, 101, 166, 34, 41, 87, 71, 46, 449, 181, 1874, 130, 215, 457, 317, 196, 256, 160, 107, 72, 147, 209, 114, 2632, 134, 252, 844, 1285, 341, 656 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

lim n -> infinity (1+1/n)^n=e

LINKS

Table of n, a(n) for n=1..57.

EXAMPLE

The simple continued fraction expansion of (1+1/10)^10 is [2, 1, 1, 2, 5, 1, 128, 1, 2, 12, 5, 3, 46, 1, 11, 7], hence a(10)=128

MATHEMATICA

Table[ Max[ ContinuedFraction[ (1 + 1/n)^n]], {n, 1, 60}]

CROSSREFS

Sequence in context: A227418 A278447 A235590 * A004574 A073127 A098604

Adjacent sequences:  A069652 A069653 A069654 * A069656 A069657 A069658

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, May 09 2002

STATUS

approved

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Last modified September 17 08:31 EDT 2019. Contains 327127 sequences. (Running on oeis4.)