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A010165
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Continued fraction for sqrt(94).
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2
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9, 1, 2, 3, 1, 1, 5, 1, 8, 1, 5, 1, 1, 3, 2, 1, 18, 1, 2, 3, 1, 1, 5, 1, 8, 1, 5, 1, 1, 3, 2, 1, 18, 1, 2, 3, 1, 1, 5, 1, 8, 1, 5, 1, 1, 3, 2, 1, 18, 1, 2, 3, 1, 1, 5, 1, 8, 1, 5, 1, 1, 3, 2, 1, 18, 1, 2, 3, 1, 1, 5, 1, 8, 1, 5, 1, 1, 3, 2, 1
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history;
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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)=(1/320)*{-331*(n mod 16)+29*[(n+1) mod 16]+29*[(n+2) mod 16]-31*[(n+3) mod 16]+9*[(n+4) mod 16]+89*[(n+5) mod 16]-71*[(n+6) mod 16]+149*[(n+7) mod 16]-131*[(n+8) mod 16]+89*[(n+9) mod 16]-71*[(n+10) mod 16]+9*[(n+11) mod 16]+49*[(n+12) mod 16]-11*[(n+13) mod 16]-11*[(n+14) mod 16]+349*[(n+15) mod 16]}-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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9.695359714832658028148881150... = 9 + 1/(1 + 1/(2 + 1/(3 + 1/(1 + ...)))) [From Harry J. Smith, Jun 11 2009]
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MATHEMATICA
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ContinuedFraction[Sqrt[94], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 10 2011*)
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PROG
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(PARI) { allocatemem(932245000); default(realprecision, 17000); x=contfrac(sqrt(94)); for (n=0, 20000, write("b010165.txt", n, " ", x[n+1])); } [From Harry J. Smith, Jun 11 2009]
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CROSSREFS
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Cf. A010545 Decimal expansion. [From Harry J. Smith, Jun 11 2009]
Sequence in context: A021527 A010166 A186116 * A177273 A176521 A222218
Adjacent sequences: A010162 A010163 A010164 * A010166 A010167 A010168
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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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