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A010162
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Continued fraction for sqrt(91).
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2
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9, 1, 1, 5, 1, 5, 1, 1, 18, 1, 1, 5, 1, 5, 1, 1, 18, 1, 1, 5, 1, 5, 1, 1, 18, 1, 1, 5, 1, 5, 1, 1, 18, 1, 1, 5, 1, 5, 1, 1, 18, 1, 1, 5, 1, 5, 1, 1, 18, 1, 1, 5, 1, 5, 1, 1, 18, 1, 1, 5, 1, 5, 1, 1, 18, 1, 1, 5, 1, 5, 1, 1, 18, 1, 1, 5, 1, 5
(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)=(1/224)*{-443*(n mod 8)+33*[(n+1) mod 8]+145*[(n+2) mod 8]-79*[(n+3) mod 8]+145*[(n+4) mod 8]-79*[(n+5) mod 8]+33*[(n+6) mod 8]+509*[(n+7) mod 8]}-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
| 9.539392014169456491526215860... = 9 + 1/(1 + 1/(1 + 1/(5 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 11 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[91], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 10 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(91)); for (n=0, 20000, write("b010162.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 11 2009]
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CROSSREFS
| Cf. A010542 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 11 2009]
Sequence in context: A109012 A037478 A198551 * A072224 A203141 A085660
Adjacent sequences: A010159 A010160 A010161 * A010163 A010164 A010165
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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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