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A010145
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Continued fraction for sqrt(61).
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3
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7, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14
(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
A. J. van der Poorten, An introduction to continued fractions
G. Xiao, Contfrac
Index entries for continued fractions for constants
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FORMULA
| a(n)=(1/605)*{-679*(n mod 11)+201*[(n+1) mod 11]-19*[(n+2) mod 11]-74*[(n+3) mod 11]+91*[(n+4) mod 11]+36*[(n+5) mod 11]-19*[(n+6) mod 11]+146*[(n+7) mod 11]+91*[(n+8) mod 11]-129*[(n+9) mod 11]+751*[(n+10) mod 11]}-7*[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
| 7.810249675906654394129722735... = 7 + 1/(1 + 1/(4 + 1/(3 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[61], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 08 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(61)); for (n=0, 20000, write("b010145.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
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CROSSREFS
| Cf. A010514 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
Sequence in context: A011450 A183031 A021018 * A199388 A201750 A198825
Adjacent sequences: A010142 A010143 A010144 * A010146 A010147 A010148
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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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