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A010158
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Continued fraction for sqrt(85).
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4
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9, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4, 18, 4, 1, 1, 4
(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)=(1/25)*{-56*(n mod 5)-[(n+1) mod 5]+14*[(n+2) mod 5]+29*[(n+3) mod 5]+84*[(n+4) mod 5]}-9*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 24 2009]
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EXAMPLE
| 9.219544457292887310002274281... = 9 + 1/(4 + 1/(1 + 1/(1 + 1/(4 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[85], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 09 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 24000); x=contfrac(sqrt(85)); for (n=0, 20000, write("b010158.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
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CROSSREFS
| Cf. A010536 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
Sequence in context: A021918 A112146 A056897 * A098454 A154206 A094881
Adjacent sequences: A010155 A010156 A010157 * A010159 A010160 A010161
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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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