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A010147
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Continued fraction for sqrt(67).
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3
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8, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 1, 1, 2, 5, 16, 5, 2, 1, 1, 7, 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)*{-454*(n mod 10)-94*[(n+1) mod 10]-4*[(n+2) mod 10]+41*[(n+3) mod 10]+311*[(n+4) mod 10]-229*[(n+5) mod 10]+41*[(n+6) mod 10]+86*[(n+7) mod 10]+176*[(n+8) mod 10]+536*[(n+9) mod 10]}-8*[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
| 8.185352771872449969953703724... = 8 + 1/(5 + 1/(2 + 1/(1 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[67], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 08 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(67)); for (n=0, 20000, write("b010147.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
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CROSSREFS
| Cf. A010519 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]
Sequence in context: A036792 A198581 A154735 * A117035 A198918 A196515
Adjacent sequences: A010144 A010145 A010146 * A010148 A010149 A010150
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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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