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A010132
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Continued fraction for sqrt(34).
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3
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5, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10, 1, 4, 1, 10
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| 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
| a(n)=(1/12)*{-19*(n mod 4)+17*[(n+1) mod 4]-[(n+2) mod 4]+35*[(n+3) mod 4]}-5*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 23 2009]
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EXAMPLE
| 5.83095189484530047087415287... = 5 + 1/(1 + 1/(4 + 1/(1 + 1/(10 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[34], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 06 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 19000); x=contfrac(sqrt(34)); for (n=0, 20000, write("b010132.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
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CROSSREFS
| Cf. A010489 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
Sequence in context: A194704 A108170 A086988 * A033988 A200421 A019977
Adjacent sequences: A010129 A010130 A010131 * A010133 A010134 A010135
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KEYWORD
| nonn,cofr
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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