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Search: id:A010160
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| A010160 |
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Continued fraction for sqrt(88). |
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+0
2
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| 9, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 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)=(1/18)*{-43*(n mod 6)+2*[(n+1) mod 6]+5*[(n+2) mod 6]+5*[(n+3) mod 6]+8*[(n+4) mod 6]+53*[(n+5) mod 6]}-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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9.380831519646859109131260227... = 9 + 1/(2 + 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(88)); for (n=0, 20000, write("b010160.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. A010539 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
Sequence in context: A147711 A096388 A153463 this_sequence A093962 A118322 A154993
Adjacent sequences: A010157 A010158 A010159 this_sequence A010161 A010162 A010163
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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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