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Search: id:A010158
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| A010158 |
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Continued fraction for sqrt(85). |
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+0
2
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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; 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)=(1/25)*{-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 (ppl(AT)spl.at), Jul 24 2009]
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EXAMPLE
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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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PROGRAM
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(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
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Cf. A010536 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
Sequence in context: A021918 A112146 A056897 this_sequence A098454 A154206 A094881
Adjacent sequences: A010155 A010156 A010157 this_sequence A010159 A010160 A010161
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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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