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A040006
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Continued fraction for sqrt(10).
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6
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3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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COMMENTS
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Eventual period is (6) [Zak Seidov, Mar 05 2011]
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,20000
G. Xiao, Contfrac
Index entries for continued fractions for constants
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FORMULA
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a(n)=6-3*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jun 11 2009]
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EXAMPLE
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3.162277660168379331998893544... = 3 + 1/(6 + 1/(6 + 1/(6 + 1/(6 + ...)))) [From Harry J. Smith, Jun 02 2009]
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MAPLE
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Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
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MATHEMATICA
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ContinuedFraction[Sqrt[10], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 04 2011*)
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PROG
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(PARI) { allocatemem(932245000); default(realprecision, 33000); x=contfrac(sqrt(10)); for (n=0, 20000, write("b040006.txt", n, " ", x[n+1])); } [From Harry J. Smith, Jun 02 2009]
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CROSSREFS
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Cf. A010467 Decimal expansion. [From Harry J. Smith, Jun 02 2009]
Sequence in context: A179949 A187601 A113737 * A155067 A094011 A161645
Adjacent sequences: A040003 A040004 A040005 * A040007 A040008 A040009
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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