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A374358
Simple continued fraction of the 5th root of 109.
2
2, 1, 1, 4, 77733, 2, 1, 1, 1, 3, 13, 1, 9715, 1, 3, 2, 1, 7, 1, 4, 52999, 1, 41, 2, 5, 1, 10019, 1, 1, 339, 5, 5, 52, 9, 20, 28, 2, 10, 2, 1, 27, 4, 1, 2, 8, 1, 1, 77, 1, 5, 9, 1, 10, 1, 5, 1, 1, 1, 4, 2, 4, 11, 1, 1, 1, 3, 2, 2, 4, 1, 15, 2, 26, 8, 1, 1, 1, 1, 46, 2
OFFSET
0,1
LINKS
Greg Martin and Winnie Miao, abc triples, arXiv:1409.2974 [math.NT], 2014. See p. 5.
EXAMPLE
109^(1/5) = 2 + 1/(1 + 1/(1 + 1/(4 + 1/(77733 + ... )))).
MATHEMATICA
ContinuedFraction[109^(1/5), 80]
CROSSREFS
Cf. A374357 (decimal expansion), A374359 (decimal expansion of the third convergent).
Sequence in context: A257859 A231622 A165623 * A264878 A338035 A373843
KEYWORD
nonn,cofr
AUTHOR
Stefano Spezia, Jul 06 2024
STATUS
approved