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A010136 Continued fraction for sqrt(46). 3
6, 1, 3, 1, 1, 2, 6, 2, 1, 1, 3, 1, 12, 1, 3, 1, 1, 2, 6, 2, 1, 1, 3, 1, 12, 1, 3, 1, 1, 2, 6, 2, 1, 1, 3, 1, 12, 1, 3, 1, 1, 2, 6, 2, 1, 1, 3, 1, 12, 1, 3, 1, 1, 2, 6, 2, 1, 1, 3, 1, 12, 1, 3, 1, 1, 2, 6, 2, 1, 1, 3, 1, 12, 1, 3, 1, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
A. J. van der Poorten, An introduction to continued fractions, Unpublished.
A. J. van der Poorten, An introduction to continued fractions, Unpublished [Cached copy]
G. Xiao, Contfrac
EXAMPLE
6.782329983125268139064556326... = 6 + 1/(1 + 1/(3 + 1/(1 + 1/(1 + ...)))). - Harry J. Smith, Jun 06 2009
MATHEMATICA
ContinuedFraction[Sqrt[46], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 16000); x=contfrac(sqrt(46)); for (n=0, 20000, write("b010136.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 06 2009
CROSSREFS
Cf. A010500 (decimal expansion), A041078/A041079 (convergents), A248272 (Egyptian fractions).
Cf. A190567.
Sequence in context: A021624 A021066 A082730 * A087256 A154911 A152935
KEYWORD
nonn,cofr,easy
AUTHOR
STATUS
approved

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Last modified March 29 10:22 EDT 2024. Contains 371268 sequences. (Running on oeis4.)