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A100865 Records in the continued fraction expansion A100864. 4
1, 4, 74, 8457, 186282390, 430917181166219, 41151315877490090952542206046, 13991468824374967392702752173757116934238293984253807017 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
These terms are doubly exponential. The next term has 106 digits. Positions of these large partial quotients are given by A100866. Hans Havermann has observed that the ratio of number-of-digits to position number is about 1.03, nearly equal to the reciprocal of Lochs constant.
LINKS
Dzmitry Badziahin and Jeffrey Shallit, An Unusual Continued Fraction, arXiv:1505.00667 [math.NT], 2015.
Dzmitry Badziahin and Jeffrey Shallit, An unusual continued fraction, Proc. Amer. Math. Soc. 144 (2016), 1887-1896.
CROSSREFS
Sequence in context: A368355 A358568 A139112 * A007157 A000857 A240007
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Nov 21 2004
STATUS
approved

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Last modified March 19 03:27 EDT 2024. Contains 370952 sequences. (Running on oeis4.)