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Search: id:A010159
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| A010159 |
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Continued fraction for sqrt(86). |
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+0
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; listen)
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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)=(1/450)*{-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 (ppl(AT)spl.at), Jul 24 2009]
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EXAMPLE
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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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PROGRAM
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(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
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Cf. A010537 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
Sequence in context: A011461 A160579 A134897 this_sequence A097528 A065416 A093312
Adjacent sequences: A010156 A010157 A010158 this_sequence A010160 A010161 A010162
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KEYWORD
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nonn,cofr
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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