A374358 Simple continued fraction of the 5th root of 109.

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

Table of n, a(n) for n=0..79.

Greg Martin and Winnie Miao, abc triples, arXiv:1409.2974 [math.NT], 2014. See p. 5.

Index entries for continued fractions for constants.

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

Adjacent sequences: A374355 A374356 A374357 * A374359 A374360 A374361

Keyword

nonn,cofr

Author

Stefano Spezia, Jul 06 2024

Status

approved