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

Author

Stefano Spezia, Jul 06 2024

Keywords

• nonn
• cofr

Examples

			109^(1/5) = 2 + 1/(1 + 1/(1 + 1/(4 + 1/(77733 + ... )))).
		

Links

• Greg Martin and Winnie Miao, abc triples, arXiv:1409.2974 [math.NT], 2014. See p. 5.
• Index entries for continued fractions for constants.

Crossrefs

Cf. A374357 (decimal expansion), A374359 (decimal expansion of the third convergent).

Programs

Mathematica

ContinuedFraction[109^(1/5),80]