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

1,3

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

Links

Table of n, a(n) for n=1..141.

Crossrefs

Cf. A002072.

Sequence in context: A053374 A355517 A227050 * A375605 A322334 A198371

Adjacent sequences: A093873 A093874 A093875 * A093877 A093878 A093879

Keyword

nonn,cofr,easy

Author

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

Extensions

More terms from Klaus Brockhaus, May 27 2004

Status

approved