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A010145 Continued fraction for sqrt(61). 5
7, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14 (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A. J. van der Poorten, An introduction to continued fractions, Unpublished.
A. J. van der Poorten, An introduction to continued fractions, Unpublished [Cached copy]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
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
EXAMPLE
7.810249675906654394129722735... = 7 + 1/(1 + 1/(4 + 1/(3 + 1/(1 + ...)))). - Harry J. Smith, Jun 07 2009
MATHEMATICA
ContinuedFraction[Sqrt[61], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *)
PadRight[{7}, 120, {14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1}] (* Harvey P. Dale, Mar 27 2013 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(61)); for (n=0, 20000, write("b010145.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 07 2009
CROSSREFS
Cf. A010514 Decimal expansion. - Harry J. Smith, Jun 07 2009
Sequence in context: A231015 A183031 A021018 * A199388 A201750 A198825
KEYWORD
nonn,cofr
AUTHOR
STATUS
approved

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Last modified June 20 22:36 EDT 2024. Contains 373532 sequences. (Running on oeis4.)