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A010142
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Continued fraction for sqrt(57).
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3
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7, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 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)=(1/90)*{-173*(n mod 6)+22*[(n+1) mod 6]+67*[(n+2) mod 6]-23*[(n+3) mod 6]+22*[(n+4) mod 6]+217*[(n+5) mod 6]}-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
| 7.549834435270749697236684806... = 7 + 1/(1 + 1/(1 + 1/(4 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[57], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 07 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 17000); x=contfrac(sqrt(57)); for (n=0, 20000, write("b010142.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
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CROSSREFS
| Cf. A010510 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
Sequence in context: A090269 A086867 A090266 * A051422 A201670 A019980
Adjacent sequences: A010139 A010140 A010141 * A010143 A010144 A010145
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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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