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A010159
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Continued fraction for sqrt(86).
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2
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9, 3, 1, 1, 1, 8, 1, 1, 1, 3, 18, 3, 1, 1, 1, 8, 1, 1, 1, 3, 18, 3, 1, 1, 1, 8, 1, 1, 1, 3, 18, 3, 1, 1, 1, 8, 1, 1, 1, 3, 18, 3, 1, 1, 1, 8, 1, 1, 1, 3, 18, 3, 1, 1, 1, 8, 1, 1, 1, 3, 18, 3, 1, 1, 1, 8, 1, 1, 1, 3, 18, 3, 1, 1, 1, 8, 1, 1
(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)=(1/450)*{-637*(n mod 10)-52*[(n+1) mod 10]+38*[(n+2) mod 10]+38*[(n+3) mod 10]+353*[(n+4) mod 10]-277*[(n+5) mod 10]+38*[(n+6) mod 10]+38*[(n+7) mod 10]+128*[(n+8) mod 10]+713*[(n+9) mod 10]}-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
| 9.273618495495703752516416073... = 9 + 1/(3 + 1/(1 + 1/(1 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[86], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 09 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(86)); for (n=0, 20000, write("b010159.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
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CROSSREFS
| Cf. A010537 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
Sequence in context: A198546 A160579 A134897 * A097528 A065416 A093312
Adjacent sequences: A010156 A010157 A010158 * A010160 A010161 A010162
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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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