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A093876 Continued fraction expansion of fourth root of 9.1. 0

%I

%S 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,

%T 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,

%U 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

%N Continued fraction expansion of fourth root of 9.1.

%C Noteworthy for the large initial terms.

%C 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

%Y Cf. A002072.

%K nonn,cofr,easy

%O 1,3

%A _N. J. A. Sloane_, based on a comment from _Ed Pegg Jr_, May 27 2004

%E More terms from _Klaus Brockhaus_, May 27 2004

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Last modified May 25 21:44 EDT 2022. Contains 354071 sequences. (Running on oeis4.)