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A010167
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Continued fraction for sqrt(96).
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2
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9, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18, 1, 3, 1, 18
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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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)=(1/24)*{-79*(n mod 4)+35*[(n+1) mod 4]+11*[(n+2) mod 4]+125*[(n+3) mod 4]}-9*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jul 24 2009]
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EXAMPLE
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9.79795897113271239278913629... = 9 + 1/(1 + 1/(3 + 1/(1 + 1/(18 + ...)))) [From Harry J. Smith, Jun 11 2009]
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MATHEMATICA
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ContinuedFraction[Sqrt[96], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 10 2011*)
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PROG
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(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(96)); for (n=0, 20000, write("b010167.txt", n, " ", x[n+1])); } [From Harry J. Smith, Jun 11 2009]
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CROSSREFS
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Cf. A010547 Decimal expansion. [From Harry J. Smith, Jun 11 2009]
Sequence in context: A154490 A051995 A198835 * A154181 A019875 A198819
Adjacent sequences: A010164 A010165 A010166 * A010168 A010169 A010170
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KEYWORD
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nonn,cofr
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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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