A192182 Continued fraction expansion of the middle real root of x^7-7x+3.

0, 2, 3, 53, 5, 1, 2, 1, 1, 1, 1, 91, 7, 1, 1, 5, 2, 1, 1, 1, 2, 1, 2, 5, 1, 2, 23, 1, 2, 6, 1, 30, 6, 1, 1, 1, 23, 2, 1, 14, 1, 1, 1, 1, 2, 1, 9, 3, 34, 2, 1, 176, 1, 114, 1, 27, 20, 2, 63, 36, 2, 6, 1, 7, 1, 1, 26, 8, 1, 1, 1, 1, 2, 1, 4, 15, 12, 1, 1

Offset

0,2

Comments

I consider the 1 after the 91 a typo in the publication. - R. J. Mathar, Jun 27 2011

Links

Table of n, a(n) for n=0..78.

David G. Cantor, Paul H. Galyean and Horst G. Zimmer, A continued fraction algorithm for real algebraic numbers. Math. Comp. 26 (1972), 785-791.

Example

0.42895317162492626.. = 0+1/(2+1/(3+1/(53+...))).

Prog

(PARI) contfrac(solve(x=0, 1, x^7-7*x+3)) \\ Michel Marcus, Oct 12 2017

Crossrefs

Cf. A192181, A192183.

Sequence in context: A371119 A371262 A193332 * A090231 A202701 A342408

Adjacent sequences: A192179 A192180 A192181 * A192183 A192184 A192185

Keyword

nonn,cofr

Author

N. J. A. Sloane, Jun 25 2011

Status

approved