A093876 Continued fraction expansion of fourth root of 9.1.

1, 1, 2, 1, 4, 75656, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 136181, 1, 2, 4, 1, 64, 1, 1, 3602, 4, 1, 12, 7, 8, 1, 2, 4267, 2, 9, 1, 22, 1, 1, 1, 1, 1, 1, 1, 4841, 35, 1, 5, 5, 1, 262344, 1, 2, 3, 1, 3, 1, 15, 3, 1, 538, 2, 4, 1, 34, 2, 1, 6, 1, 1, 1, 2, 1, 2, 63, 1, 195, 4, 1, 2, 3, 1, 2, 2, 1, 4, 2, 1, 1, 5, 1, 9, 1, 3, 30, 2, 1, 2, 1, 15, 1, 7, 8, 6, 1, 1, 2, 7, 1, 1, 1, 3, 2, 3, 2, 13, 1, 5, 1, 13, 3, 19, 1, 1, 1, 2, 6, 1, 1, 3, 3, 1, 1, 1, 4, 1, 1, 2, 1, 2

Offset: 1

Author

N. J. A. Sloane, based on a comment from Ed Pegg Jr, May 27 2004

Keywords

• nonn
• cofr
• easy

Comments

Noteworthy for the large initial terms.

Comes from the best consecutive 19-smooth numbers, 11859210 and 11859211 (A002072), or 7*13*19^4 and 2*3^4*5*11^4, or 91 19^4 and 10 33^4. Which leads to 9.1 ~ (33/19)^4 and a spectacular convergent for the fourth root of 9.1. - Ed Pegg Jr, Mar 09 2005

Crossrefs

Cf. A002072.

Extensions

More terms from Klaus Brockhaus, May 27 2004